1993
DOI: 10.1006/jctb.1993.1071
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Automorphism Groups of Cayley Maps

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Cited by 32 publications
(34 citation statements)
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“…Using Theorem 3, it follows that the automorphism groups of Cayley maps Aut(CM(G, X, p)) are rotary extensions of the underlying group G. This has been first observed in [6], where one can also find the following results relevant to the theory developed further in this section. Let M = CM(G, X, p) be a Cayley map, and let ρ be a bijection of the group G onto itself.…”
Section: Automorphism Groups Of Cayley Mapsmentioning
confidence: 57%
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“…Using Theorem 3, it follows that the automorphism groups of Cayley maps Aut(CM(G, X, p)) are rotary extensions of the underlying group G. This has been first observed in [6], where one can also find the following results relevant to the theory developed further in this section. Let M = CM(G, X, p) be a Cayley map, and let ρ be a bijection of the group G onto itself.…”
Section: Automorphism Groups Of Cayley Mapsmentioning
confidence: 57%
“…The concept of a rotary extension first occurred in relation to automorphism groups of Cayley maps in [6], where it was proved that the automorphism group Aut(M) of any Cayley map CM(G, X, p) is a rotary extension of the underlying group G by a group ρ generated by a special graph-automorphism ρ stabilizing the identity 1 G and called a "rotary mapping". Rotary extensions of groups form a special case of a much more general group extension discussed in [14].…”
Section: Rotary Extensionsmentioning
confidence: 99%
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