The Cayley isomorphism property for the group

Standard

The Cayley isomorphism property for the group. / Ryabov, Grigory.

In: Communications in Algebra, Vol. 49, No. 4, 2020, p. 1788-1804.

Research output: Contribution to journal › Article › peer-review

Harvard

Ryabov, G 2020, 'The Cayley isomorphism property for the group', Communications in Algebra, vol. 49, no. 4, pp. 1788-1804. https://doi.org/10.1080/00927872.2020.1853141

APA

Ryabov, G. (2020). The Cayley isomorphism property for the group. Communications in Algebra, 49(4), 1788-1804. https://doi.org/10.1080/00927872.2020.1853141

Vancouver

Ryabov G. The Cayley isomorphism property for the group. Communications in Algebra. 2020;49(4):1788-1804. Epub 2020 Nov 28. doi: 10.1080/00927872.2020.1853141

Author

Ryabov, Grigory. / The Cayley isomorphism property for the group. In: Communications in Algebra. 2020 ; Vol. 49, No. 4. pp. 1788-1804.

BibTeX

@article{10ed5072934a4dbfaef58f097f7d58ca,

title = "The Cayley isomorphism property for the group",

abstract = "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.).",

keywords = "Isomorphisms, DCI-groups, Schur rings, -groups",

author = "Grigory Ryabov",

year = "2020",

doi = "10.1080/00927872.2020.1853141",

language = "English",

volume = "49",

pages = "1788--1804",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

RIS

TY - JOUR

T1 - The Cayley isomorphism property for the group

AU - Ryabov, Grigory

PY - 2020

Y1 - 2020

N2 - 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.).

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

UR - http://www.scopus.com/inward/record.url?scp=85102230742&partnerID=8YFLogxK

U2 - 10.1080/00927872.2020.1853141

DO - 10.1080/00927872.2020.1853141

M3 - Article

VL - 49

SP - 1788

EP - 1804

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 4

ER -

ID: 27362275