首页|Normal Cayley digraphs of generalized quaternion groups with CI-property
Normal Cayley digraphs of generalized quaternion groups with CI-property
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NSTL
Elsevier
A Cayley digraph Cay(G, S) of a finite group G with respect to a subset S of G , where S does not contain the identity 1 of G , is said to be a CI-digraph, if Cay(G,S) expressionpproximexpressiontely equexpressionl to Cay(G, T ) implies that G has an automorphism mapping S to T . The group G is called a DCI-group or an NDCI-group if all Cayley digraphs or normal Cayley digraphs of G are CI-digraphs. We prove in this paper that a generalized quaternion group Q(4n) of order 4 n is an NDCI-group if and only if n = 2 or n is odd. As a result, we show that if Q(4n) is a DCI-group then n = 2 or n is odd-square-free. (c) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
