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• W25066479 abstract "In this thesis we discuss some uses and applications of the techniques in Symmetric generation. In Chapter 1 we introduce the notions of symmetric generation. In Chapter 2 we discuss symmetric presentations defined by symmetric generating sets that are preserved by a group acting on them transitively but imprimitively. In Chapter 3 our attention turns to Coxeter groups. We show how the Coxeter-Moser presentations traditionally associated with the families of finite Coxeter groups of types A(_n), D(_n) and E(_n) (ie the “simply laced” Coxeter groups) may be interpreted as symmetric presentations and as such may be naturally arrived at by elementary means. In Chapter 4 we classify the irreducible monomial representations of the groups L(_2)(q) and use these to define symmetric generating sets of various groups." @default.
• W25066479 created "2016-06-24" @default.
• W25066479 creator A5012999771 @default.
• W25066479 date "2009-07-01" @default.
• W25066479 modified "2023-09-25" @default.
• W25066479 title "On the symmetric generation of finite groups" @default.
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• W25066479 hasPublicationYear "2009" @default.
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