The Cayley isomorphism property for the group

Grigory Ryabov

doi:10.1080/00927872.2020.1853141

The Cayley isomorphism property for the group

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Аннотация

A finite group G is called a (Formula presented.) -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 (Formula presented.) where p is a prime, is a (Formula presented.) -group if and only if (Formula presented.).

Язык оригинала	английский
Страницы (с-по)	1788-1804
Число страниц	17
Журнал	Communications in Algebra
Том	49
Номер выпуска	4
Ранняя дата в режиме онлайн	28 ноя 2020
DOI	https://doi.org/10.1080/00927872.2020.1853141
Состояние	Опубликовано - 2020

Доступ к документу

10.1080/00927872.2020.1853141

Ссылка на публикацию в Scopus

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KW - Isomorphisms

KW - DCI-groups

KW - Schur rings

KW - -groups

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