Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
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| Creator |
Ghasemi, M.
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| Description |
A Cayley graph X = Cay(G, S) is called normal for G if the right regular representation R(G) of G is normal in the full automorphism group Aut(X) of X. In the present paper it is proved that all connected tetravalent Cayley graphs on a minimal non-abelian group G are normal when (|G|,2) = (|G|,3) = 1, and X is not isomorphic to either Cay(G, S), where |G| = 5n, and |Aut(X)| = 2m.3.5n, where m ∈ {2,3} and n ≥ 3, or Cay(G, S) where |G| = 5qn (q is prime) and |Aut(X)| = 2m.3.5.qn, where q ≥ 7, m ∈ {2,3} and n ≥ 1.
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| Date |
2019-06-08T09:48:59Z
2019-06-08T09:48:59Z 2012 |
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| Type |
Article
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| Identifier |
Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups / M. Ghasemi // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 52–58. — Бібліогр.: 14 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:05C25, 20B25. http://dspace.nbuv.gov.ua/handle/123456789/152186 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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