In [2] it is proved that if X = Cay(G, S) is a connected tetravalent Cayley graph on a regular p-group G (for p ≠ 2,5), then the right regular representation of G is normal in the automorphism group of X. In this paper we prove that a similar result holds, for p = 5, under a slightly stronger hypothesis. Some remarkable examples are presented. Copyright © 2012, Charles Babbage Research Centre All rights reserved
Spiga, P. (2012). Automorphism groups of tetravalent Cayley graphs on regular 5-groups. ARS COMBINATORIA, 105, 33-43.
Automorphism groups of tetravalent Cayley graphs on regular 5-groups
SPIGA, PABLO
2012
Abstract
In [2] it is proved that if X = Cay(G, S) is a connected tetravalent Cayley graph on a regular p-group G (for p ≠ 2,5), then the right regular representation of G is normal in the automorphism group of X. In this paper we prove that a similar result holds, for p = 5, under a slightly stronger hypothesis. Some remarkable examples are presented. Copyright © 2012, Charles Babbage Research Centre All rights reserved
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