The Cayley isomorphism property for the group

Grigory Ryabov

doi:10.1080/00927872.2020.1853141

The Cayley isomorphism property for the group

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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:

Язык оригинала	английский
Число страниц	17
Журнал	Communications in Algebra
DOI	https://doi.org/10.1080/00927872.2020.1853141
Состояние	Электронная публикация перед печатью - 28 ноя 2020

Доступ к документу

10.1080/00927872.2020.1853141

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AB - 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:

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KW - Schur rings

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JF - Communications in Algebra

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