We construct a family F F of Frobenius groups having abelian Sylow subgroups Ε½ and non-inner, class-preserving automorphisms. We show that any A-group that is, . a finite solvable group with abelian Sylow subgroups has a sub-quotient belonging to F F provided it has a non-inner, class-preserving aut
β¦ LIBER β¦
Class-preserving automorphisms and inner automorphisms of certain tree products of groups
β Scribed by Wei Zhou; Goansu Kim
- Book ID
- 113675154
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 191 KB
- Volume
- 341
- Category
- Article
- ISSN
- 0021-8693
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## Abstract A perfect edge colouring of a graph is defined by the property that all colour matchings are perfect matchings. Every edgeβcoloured graph determines a group of graph automorphisms which preserve the colours of the edges. If the graph is connected, then this group of colour preserving au