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The Cayley isomorphism property for the group C 4 × C p 2
Communications in Algebra ( IF 0.6 ) Pub Date : 2020-12-11
Grigory Ryabov

Abstract

A finite group G is called a DCI -group if every two isomorphic Cayley digraphs over G are Cayley isomorphic, i.e. their connection sets are conjugate by a group automorphism. We prove that the group C 4 × C p 2 , where p is a prime, is a DCI -group if and only if p 2 .



中文翻译:

C 4×C p 2群的Cayley同构性质

摘要

有限群G称为a DCI -如果G上的每两个同构Cayley有向图是Cayley同构,即它们的连接集通过组自同构而共轭。我们证明该小组 C 4 × C p 2 其中p是素数,是a DCI -group当且仅当 p 2

更新日期:2020-12-11
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