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The Cayley isomorphism property for the group. / Ryabov, Grigory.
в: Communications in Algebra, Том 49, № 4, 2020, стр. 1788-1804.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The Cayley isomorphism property for the group
AU - Ryabov, Grigory
N1 - Publisher Copyright: © 2020 Taylor & Francis Group, LLC. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
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