The Spread of Almost Simple Classical Groups (Lecture Notes in Mathematics)
Harper, Scott
ISBN 10: 3030740994 ISBN 13: 9783030740993
Published by Springer, 2021
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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.
About the Author: 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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Title: The Spread of Almost Simple Classical Groups...
Publisher: Springer
Publication Date: 2021
Binding: Soft cover
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The spread of almost simple classical groups.
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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. Seller Inventory # 36492AB
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The Spread of Almost Simple Classical Groups
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Kartoniert / Broschiert. Condition: 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. Seller Inventory # 458553993
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The Spread of Almost Simple Classical Groups
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Taschenbuch. Condition: Neu. The Spread of Almost Simple Classical Groups | Scott Harper | Taschenbuch | viii | Englisch | 2021 | Springer | EAN 9783030740993 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 119727583
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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
ISBN 10: 3030740994
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Taschenbuch. Condition: 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. Seller Inventory # 9783030740993
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The Spread of Almost Simple Classical Groups
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Taschenbuch. Condition: 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. Seller Inventory # 9783030740993
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The Spread of Almost Simple Classical Groups
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ISBN 13: 9783030740993
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Taschenbuch. Condition: 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. Seller Inventory # 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 (Lecture Notes in Mathematics, 2286) 1st ed. 2021 Edition
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