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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.
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In den WarenkorbPaperback. Zustand: Brand New. 162 pages. 9.25x6.10x0.35 inches. In Stock.
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Sprache: Englisch
Verlag: Springer International Publishing, 2021
ISBN 10: 3030740994 ISBN 13: 9783030740993
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Taschenbuch. Zustand: 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.
Taschenbuch. Zustand: Neu. The Spread of Almost Simple Classical Groups | Scott Harper | Taschenbuch | Lecture Notes in Mathematics | 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.