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

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10.1080/00927872.2020.1853141

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author = "Grigory Ryabov",

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AB - 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.).

KW - Isomorphisms

KW - DCI-groups

KW - Schur rings

KW - -groups

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U2 - 10.1080/00927872.2020.1853141

DO - 10.1080/00927872.2020.1853141

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SP - 1788

EP - 1804

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

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The Cayley isomorphism property for the group

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