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Nilpotency in automorphic loops of prime power order
Nilpotency automorphic loops prime power order
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2010/11/9
A loop is automorphic if its inner mappings are automorphisms. Using so-called associated operations, we show that every commutative automorphic loop of odd prime power order is centrally nilpotent. ...
On the Stabilizer of the Automorphism Group of a 4-valent Vertex-transitive Graph with Odd-prime-power Order
cayley graphs s -arc-transitive vertex-transitive
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2007/12/11
Let X be a 4-valent connected vertex-transitive graph with odd-prime-power order p~k (k ≥ 1), and let A be the full automorphism group of X. In this paper, we prove that the stabilizer Av of a vertex ...