The Cayley isomorphism property for the group

被引：1

作者：

Ryabov, Grigory ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk, Russia

来源：

COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Isomorphisms; DCI-groups; Schur rings;

D O I：

10.1080/00927872.2020.1853141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 x C-p(2), where p is a prime, is a DCI-group if and only if p not equal 2:

引用

页码：1788 / 1804

页数：17

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