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Class-preserving automorphisms and inner automorphisms of certain tree products of groups

✍ 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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πŸ“œ SIMILAR VOLUMES


Class-Preserving Automorphisms of Finite
✍ Martin Hertweck πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 200 KB

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

A note on groups of colour preserving au
✍ Ulrike Baumann; Ute Holthaus πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 233 KB

## Abstract A perfect edge colouring of a graph is defined by the property that all colour matchings are perfect matchings. Every edge‐coloured 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