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Some Cayley graphs for simple groups

✍ Scribed by W.M. Kantor


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
385 KB
Volume
25
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


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In this short note the neighbourhood graph of a Cayley graph is considered. It has, as nodes, a symmetric generating set of a finitely-generated group . Two nodes are connected by an edge if one is obtained from the other by multiplication on the right by one of the generators. Two necessary conditi

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## Abstract If __n__ is divisible by at least three distinct primes, the dihedral group __D~n~__ can be generated by three nonredundant, involuntary elements. We study the Cayley graphs resulting from such a presentation of __D~n~__ for several families of __n__ and for all admissible __n__ < 120.

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The issue of when two Cayley digraphs on different abelian groups of prime power order can be isomorphic is examined. This had previously been determined by Anne Joseph for squares of primes; her results are extended.