Articles liés à The Spread of Almost Simple Classical Groups
Synopsis
This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent. This monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups.
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À propos de l?auteur
Scott Harper is a Heilbronn Research Fellow at the University of Bristol. His main research interest is group theory, having published several papers on the subject. This is his first book. He is particularly interested in simple groups and connections between group theory and combinatorics. Previously, he was a London Mathematical Society Early Career Research Fellow at the University of Padua, and he completed his PhD at the University of Bristol, during which time he was awarded the Cecil King Travel Scholarship from the London Mathematical Society.
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The spread of almost simple classical groups.
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Cham, Springer., 2021
ISBN 10 : 3030740994
ISBN 13 : 9783030740993
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Vendeur : Universitätsbuchhandlung Herta Hold GmbH, Berlin, Allemagne
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viii, 151 p. Softcover. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture notes in mathematics, volume 2286. Sprache: Englisch. N° de réf. du vendeur 36492AB
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The Spread of Almost Simple Classical Groups (Lecture Notes in Mathematics)
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The Spread of Almost Simple Classical Groups
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The Spread of Almost Simple Classical Groups
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Springer International Publishing, 2021
ISBN 10 : 3030740994
ISBN 13 : 9783030740993
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces the almost simple groups together with their maximal subgroups and automorphismsProvides a very well-written, comprehensive account of Shintani descent for applications in group theory in a  useful contextClassifies the fini. N° de réf. du vendeur 458553993
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The Spread of Almost Simple Classical Groups
Edité par
Springer International Publishing, 2021
ISBN 10 : 3030740994
ISBN 13 : 9783030740993
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups.Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent.This monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups. N° de réf. du vendeur 9783030740993
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The Spread of Almost Simple Classical Groups
Edité par
Springer International Publishing Mai 2021, 2021
ISBN 10 : 3030740994
ISBN 13 : 9783030740993
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups.Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. Groups with this property are said to be 3/2-generated. Breuer, Guralnick and Kantor conjectured that a finite group is 3/2-generated if and only if every proper quotient is cyclic. We prove a strong version of this conjecture for almost simple classical groups, by bounding the spread of these groups. This involves analysing the automorphisms, fixed point ratios and subgroup structure of almost simple classical groups, so the first half of this monograph is dedicated to these general topics. In particular, we give a general exposition of Shintani descent.This monograph will interest researchers in group generation, but theopening chapters also serve as a general introduction to the almost simple classical groups. 164 pp. Englisch. N° de réf. du vendeur 9783030740993
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The Spread of Almost Simple Classical Groups (Lecture Notes in Mathematics)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9783030740993
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The Spread of Almost Simple Classical Groups
ISBN 10 : 3030740994
ISBN 13 : 9783030740993
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 164 pp. Englisch. N° de réf. du vendeur 9783030740993
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The Spread of Almost Simple Classical Groups (Lecture Notes in Mathematics)
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The Spread of Almost Simple Classical Groups
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 162 pages. 9.25x6.10x0.35 inches. In Stock. N° de réf. du vendeur x-3030740994
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