Groups Combinatorics & Geometry

Groups Combinatorics & Geometry

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Over the past 20 years, the theory of groups in particular simplegroups, finite and algebraic has influenced a number of diverseareas of mathematics. Such areas include topics where groups have beentraditionally applied, such as algebraic combinatorics, finitegeometries, Galois theory and permutation groups, as well as severalmore recent developments.dimension in G, given by Theorem 1. ... Writing Ga = G(q\), the subgroups in (i) are subgroups of the form G(q) or a twisted version, where Ayq is a subfield of Fqagt;; they are unique up ... H(q) has the same type as G, or H = Ma where M is maximal closed a -stable of positive dimension in G. This is all very well, but in practice ... G G2 FA E6 Ap7 u(G) 12 68 124 388 G; possibilities for F*(Ma), M in Table 1 G2te)anbsp;...

Title:Groups Combinatorics & Geometry
Author:A. A. Ivanov, M. W. Liebeck, J. Saxl
Publisher:World Scientific - 2003


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