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ѧÊõÔ¤¸æ-Cayley digraphs of 2-genetic groups of prime-power order
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½²×ùÖ÷Ì⣺Cayley digraphs of 2-genetic groups of prime-power order

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A group is called 2-genetic if each normal subgroup of the group can be generated by two elements. Let G be a non-abelian 2-genetic group of order for an odd prime and a positive integer .

In this paper, we investigate connected Cayley digraphs Cay(G,S), and determine their full automorphism groups when is a -group. With the result, we give the first known half-arc-transitive non-normal Cayley graphs of order an odd prime-power.

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