Eamonn O'Brien (mathematician)

Eamonn O'Brien
O'Brien receiving the Hector Medal in 2020
Born
Eamonn Anthony O'Brien
Alma materAustralian National University
Known for
  • Computational group theory
  • Ore conjecture
Awards
Scientific career
FieldsMathematician
InstitutionsUniversity of Auckland
Thesis The Groups of Order Dividing 256  (1988)
Doctoral advisorMichael F. Newman

Eamonn Anthony O'Brien FRSNZ is a professor of mathematics at the University of Auckland, New Zealand, known for his work in computational group theory and p-groups.

Education

O'Brien obtained his B.Sc. (Hons) from the National University of Ireland (Galway) in 1983. He completed his Ph.D. in 1988 at the Australian National University. His dissertation, The Groups of Order Dividing 256, was supervised by Michael F. Newman.[1]

Research

O'Brien's early work concerned classification, up to isomorphism, of groups of order 256.[2] He developed early computer software to complete the classification, and to verify that the classification can correct errors in earlier counting. This led to classifications of many further families of small order groups. In 2000, together with Bettina Eick and Hans Ulrich Besche, O'Brien classified all groups of order at most 2000, excluding those of order 1024. The groups of order 1024 were instead enumerated.[3] This classification is known as the Small Groups Library. Later with Michael F. Newman and Michael Vaughan-Lee O'Brien extended the classifications of groups of order , , and . These classifications comprise the tables provided in the computer algebra systems SageMath, GAP, and Magma.

For a 20-year span from the mid-1990s, O'Brien led the so-called Matrix Group Recognition Project whose primary objective is to solve the following problem: given a list of invertible matrices over a finite field, determine the composition series of the group.[4][5] Implementations of algorithms that realize the goals of this project form the bedrock of matrix group computations in the computer algebra system Magma.

O'Brien's collaborations include resolution of several conjectures include the Ore conjecture, according to which all elements of non-abelian finite simple groups are commutators.[6]

Awards

Selected publications

  • Holt, Derek F.; Leedham-Green, C. R.; O'Brien, E. A.; Rees, Sarah (1996), "Testing matrix groups for primitivity", Journal of Algebra, 184 (3): 795–817, doi:10.1006/jabr.1996.0285, MR 1407871
  • Holt, Derek F.; Leedham-Green, C. R.; O'Brien, E. A.; Rees, Sarah (1996), "Computing matrix group decompositions with respect to a normal subgroup", Journal of Algebra, 184 (3): 818–838, doi:10.1006/jabr.1996.0286, MR 1407872
  • Leedham-Green, C. R.; O'Brien, E. A. (1997), "Tensor products are projective geometries", Journal of Algebra, 189 (2): 514–528, doi:10.1006/jabr.1996.6881, MR 1438187
  • Leedham-Green, C. R.; O'Brien, E. A. (2002), "Recognising tensor-induced matrix groups", Journal of Algebra, 253 (1): 14–30, doi:10.1016/S0021-8693(02)00041-8, MR 1925006
  • Glasby, S. P.; Leedham-Green, C. R.; O'Brien, E. A. (2006), "Writing projective representations over subfields", Journal of Algebra, 295 (1): 51–61, doi:10.1016/j.jalgebra.2005.03.037, MR 2188850
  • Liebeck, Martin W.; O'Brien, E. A.; Shalev, Aner; Tiep, Pham Huu (2010), "The Ore conjecture", Journal of the European Mathematical Society, 12 (4): 939–1008, doi:10.4171/JEMS/220, MR 2654085
  • Guralnick, Robert M.; Liebeck, Martin W.; O'Brien, E. A.; Shalev, Aner; Tiep, Pham Huu (2018), "Surjective word maps and Burnside's theorem", Inventiones Mathematicae, 213 (2): 589–695, doi:10.1007/s00222-018-0795-z, hdl:10044/1/57240, MR 3827208, S2CID 253743316

References

  1. ^ Eamonn O'Brien at the Mathematics Genealogy Project
  2. ^ O'Brien, E. A. (1991), "The groups of order 256", Journal of Algebra, 143 (1): 219–235, doi:10.1016/0021-8693(91)90261-6, MR 1128656
  3. ^ Besche, Hans Ulrich; Eick, Bettina; O'Brien, E. A. (2002), "A millennium project: constructing small groups" (PDF), International Journal of Algebra and Computation, 12 (5): 623–644, doi:10.1142/S0218196702001115, MR 1935567
  4. ^ 2014 BIRS Workshop: Algorithms for Linear Groups. Organizers Jon F. Carlson, Bettina Eick, Alexander Hulpke, Eamonn O’Brien.
  5. ^ 2011 MFO Workshop: Computational Group Theory. Organizers: Bettina Eick, Gerhard Hiss, Derek Holt, Eamonn O'Brien.
  6. ^ Malle, Gunter (2014), "The proof of Ore's conjecture (after Ellers-Gordeev and Liebeck-O'Brien-Shalev-Tiep)" (PDF), Astérisque (361): Exp. No. 1069, ix, 325–348, ISBN 978-285629-785-8, MR 3289286
  7. ^ Royal Society of New Zealand
  8. ^ Royal Society of New Zealand Members
  9. ^ New Zealand Mathematics Research Awards
  10. ^ Alexander von Humboldt Foundation

Read other articles:

Peta menunjukan lokasi Santo Tomas Santo Tomas adalah munisipalitas yang terletak di provinsi Davao del Norte, Filipina. Pada tahun 2010, munisipalitas ini memiliki populasi sebesar 108.139 jiwa atau 23.375 rumah tangga. Pembagian wilayah Secara administratif Santo Tomas terbagi menjadi 19 barangay, yaitu: Balagunan Bobongon Esperanza Kimamon Kinamayan La Libertad Lungaog Magwawa New Katipunan Pantaron Tibal-og (Pob.) San Jose San Miguel Talomo Casig-Ang New Visayas Salvacion San Vicente Tulalia…

Castelletto d'Erro comune di Italia Tempat categoria:Articles mancats de coordenades Negara berdaulatItaliaRegion di ItaliaPiemonteProvinsi di ItaliaProvinsi Alessandria NegaraItalia PendudukTotal130  (2023 )GeografiLuas wilayah4,66 km² [convert: unit tak dikenal]Ketinggian544 m Berbatasan denganBistagno Cartosio Melazzo Montechiaro d'Acqui Ponti SejarahHari liburpatronal festival (en) Santo pelindungAnna Informasi tambahanKode pos15010 Zona waktuUTC+1 UTC+2 Kode telepon0144 ID IS…

Kontes Lagu Eurovision 1990 Final 5 Mei 1990 Pembawa Acara Helga Vlahović BrnobićOliver Mlakar Konduktor Igor Kuljerić Penyiar Tuan Rumah JRT / RTV Zagreb Tempat Vatroslav Lisinski Concert Hall, Zagreb, Republik Sosialis Kroasia, Yugoslavia Lagu pemenang  ItaliaInsieme: 1992 Sistem pemberian suara Setiap negara memberikan 12, 10, 8-1 poin untuk 10 lagu favorit mereka Jumlah kontestan 22 Partisipasi pertama Tidak ada Kembali ke Kontes Tidak ada Tidak mengikuti kontes Tidak ada Poin nihil …

Universitas GeorgetownNama sebelumnyaGeorgetown College (1789–1814)MotoUtraque Unum (Latin)Moto dalam bahasa InggrisBoth into One [a]JenisUniversitas nirlaba swastaDidirikan23 Januari 1789[1]AfiliasiKatolik Roma (Yesuit)Dana abadi$1.484 miliar (2016)[2]KetuaWilliam Doyle[3]PresidenJohn J. DeGioiaProvosRobert GrovesStaf akademikTotal: 2,173[4](1,291 waktu penuh / 882 paruh waktu)Staf administrasi1,500[5]Jumlah mahasiswa17,849[4]Sarjana7,636[d…

1954–1962 war of Algerian independence from France Not to be confused with Algerian Civil War. For other uses, see List of wars involving Algeria. Algerian Warثورة التحرير الجزائريةGuerre d'AlgériePart of the Cold War and the decolonisation of AfricaCollage of the French war in AlgeriaDate1 November 1954 – 19 March 1962(7 years, 4 months, 2 weeks and 4 days)LocationFrench AlgeriaResult Algerian victory Algerian independence Military stalemate[1 …

Poster promosi untuk Sandow Trocadero Vaudevilles (1894), menampilkan penari, badut, seniman trapeze, anjing berkostum, penyanyi dan aktor berkostum. Vaudeville (/ˈvɔːd(ə)vɪl/; Prancis: [vodvil]) adalah suatu jenis ragam teatrikal berbagai hiburan yang lahir di Prancis pada akhir abad ke-19. Sebuah vaudeville pada awalnya merupakan komedi tanpa niat psikologis atau moral yang hanya berbasis pada situasi lucu seperti komposisi dramatis atau puisi ringan dengan selingan lagu atau balet. Vaude…

Artikel ini perlu dikembangkan agar dapat memenuhi kriteria sebagai entri Wikipedia.Bantulah untuk mengembangkan artikel ini. Jika tidak dikembangkan, artikel ini akan dihapus. Zhejiang Dahua Technology Co., Ltd.JenisPerusahaan negeriKode emitenSZSE: 002236IndustriKamera pengawasDidirikan2001KantorpusatHangzhou, ZhejiangWilayah operasiSeluruh duniaPendapatan $3.73 miliar (2019)[1]Karyawan+16.000 (2019)AnakusahaLorex Dahua Technology Hanzi sederhana: 浙江大华技术股份有限公司 H…

Canadian bisexual and feminist writer and activist Lani KaʻahumanuBorn (1943-10-05) October 5, 1943 (age 80)Edmonton, Alberta, CanadaOccupationAuthor, editor and activistNationalityKanaka MaoliPeriodLate 20th/early 21st centuryGenreBooks, essays, magazine articlesSubjectFeminism, bisexuality, HIV/healthLiterary movementFeminism and LGBTQIA rights, health and elder issuesNotable workBi Any Other Name: Bisexual People Speak Out, 1991, 2015Websitewww.lanikaahumanu.com Lani Kaʻahumanu (born O…

Isole Vergini Americane Uniformi di gara Casa Trasferta Sport Calcio Federazione USVISFU.S. Virgin Islands Soccer Federation Confederazione CONCACAF Codice FIFA VIR Soprannome The Dashing Eagle (l'Aquila in Picchiata, simbolo delle isole e degli Stati Uniti)[1] Selezionatore Gilberto Damiano Record presenze Dusty Good (21) Capocannoniere Jamie BrowneJames Charles Mack (3) Ranking FIFA 205º (26 ottobre 2023)[2] Esordio internazionale Isole Vergini Americane 1 - 0 Isole Vergini Br…

Battle of the American Civil War Battle of Trevilian StationPart of the American Civil WarDateJune 11, 1864 (1864-06-11) – June 12, 1864 (1864-06-12)LocationLouisa County, Virginia38°02′59″N 78°03′58″W / 38.04973°N 78.06604°W / 38.04973; -78.06604Result See aftermathBelligerents United States  Confederate StatesCommanders and leaders Philip Sheridan Alfred T. A. Torbert David McM. Gregg Wade Hampton Fitzhugh LeeStrength…

United States Army Medal of Honor recipient (1840–1914) John M. DeaneJohn M. Deane, c. 1902Born(1840-01-08)January 8, 1840Assonet, MassachusettsDiedSeptember 2, 1914(1914-09-02) (aged 74)Assonet, MassachusettsPlace of burialAssonet Burying GroundAllegiance United States of AmericaUnionService/branch United States ArmyUnion ArmyYears of service1861–1865Rank MajorUnit 29th Massachusetts Volunteer Infantry RegimentBattles/warsAmerican Civil WarAwardsMedal of HonorOther …

Elm cultivar Ulmus 'Patriot'Ulmus 'Patriot' at the USDA Plant Introduction Station, Glenn Dale, MD.GenusUlmusHybrid parentage'Urban' × 'Prospector'Cultivar'Patriot'OriginUS Ulmus 'Patriot' [2] is a hybrid cultivar raised by the United States National Arboretum in 1980. Derived from a crossing of the American hybrid 'Urban' (female parent) with the Wilson's Elm (now treated as Japanese Elm U. davidiana var. japonica) cultivar 'Prospector', 'Patriot' was released to commerce, free of patent restr…

Skyscraper in central London, England 122 Leadenhall StreetAlternative namesLeadenhall BuildingThe CheesegraterLeadenhall TowerGeneral informationStatusCompletedTypeOfficeArchitectural stylePost-modern / Structural expressionismLocationLondon, EC3CompletedJune 2013OpenedJuly 2014; 9 years ago (2014-07)Cost£1.15 billion[2][3]OwnerC C Land[1]HeightRoof225 metres (738 ft)[4]Technical detailsFloor count48Floor area84,424 m2 (908,730&#…

Private college in New York City Not to be confused with Cooper University Hospital, a teaching hospital in Camden, New Jersey. The Cooper Union for the Advancement of Science and ArtThe Cooper Union's Foundation Building at Cooper Square and Astor Place in 2019TypePrivate collegeEstablished1859; 165 years ago (1859)AccreditationMSCHEEndowment$920 million (2021)[1]PresidentLaura Sparks[2]Academic staff57 (full time) (2017/2018)[3][4][5]&#…

Overview of the foreign policy of the Recep Tayyip Erdoğan government This article is about the foreign policy of Recep Tayyip Erdoğan while Prime Minister. For his foreign policy as President, see Recep Tayyip Erdoğan § Presidency (2014–present). This article is part of a series aboutRecep Tayyip Erdoğan Early life and career Electoral history Public image Honors Political views Foreign policy 2023 vision Erdoğanism Parties National Salvation Party Welfare Party Virtue Party Justic…

Roman road in Italy Brixian WayVia BrixianaGlimpse of via Brescia in Pontevico (Brescia), which follows the route of the ancient via Brixiana.LocationEastern Lombardy, Brescia to CremonaTypeRoman roadSite notesConditionNo longer existsOwnership Roman Empire Western Roman Empire The Via Brixiana, or Via Cremonensis,[1][2] was a Roman road created during the Roman-Gallic wars in the Roman province of Cisalpine Gaul. It connected Cremona to Brescia, from which Roman roads passed and…

French neo-fascist movement Social BastionBastion SocialPredecessorGroupe Union DéfenseFormationJune 2017; 6 years ago (2017-06)FounderSteven BissuelDissolvedApril 24, 2019; 5 years ago (2019-04-24)HeadquartersLyonLeaderValentin LinderSocial Bastion (French: Bastion Social) was a French political movement founded in 2017 by former members of the far-right student association Groupe Union Défense (GUD) and dissolved by official decree in 2019 after sever…

Resort in Algarve, PortugalVilamouraResortA view of Vilamoura, its marina and luxury hotelsVilamouraLocation within PortugalCoordinates: 37°04′42″N 8°07′03″W / 37.0783°N 8.11745°W / 37.0783; -8.11745CountryPortugalRegionAlgarveDistrictFaroMunicipalityLouléTime zoneUTC+00:00 (WET) • Summer (DST)UTC+01:00 (WEST) Vilamoura is a coastal luxury resort in the Loulé municipality in Algarve, Portugal. It is one of the three corners of Algarve's Golden Tr…

Nicola Cabibbo nel 2006 Nicola Cabibbo (Roma, 10 aprile 1935 – Roma, 16 agosto 2010) è stato un fisico italiano, noto per l'introduzione nella fisica delle particelle dell'angolo di Cabibbo. I suoi studi sull'interazione debole, nati per spiegare il comportamento delle particelle strane, hanno permesso, grazie all'ampliamento dell'idea originaria da lui proposta nel 1963, di formulare l'ipotesi dell'esistenza di almeno tre famiglie di quark. Questa ipotesi è stata utilizzata per spiegare, gr…

2016年美國總統選舉 ← 2012 2016年11月8日 2020 → 538個選舉人團席位獲勝需270票民意調查投票率55.7%[1][2] ▲ 0.8 %   获提名人 唐納·川普 希拉莉·克林頓 政党 共和黨 民主党 家鄉州 紐約州 紐約州 竞选搭档 迈克·彭斯 蒂姆·凱恩 选举人票 304[3][4][註 1] 227[5] 胜出州/省 30 + 緬-2 20 + DC 民選得票 62,984,828[6] 65,853,514[6] 得…

Kembali kehalaman sebelumnya