Group Bijections Commuting with Inner Automorphisms Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 5, Pages: 1015-1025 Pages count : 11 DOI: 10.1134/s0037446624050045 | ||||||
| Tags | group, bijection, automorphism, conjugacy class, inversion, wreath product, quandle | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
Considering the bijections of an arbitrary group G onto itself which commute with all inner automorphisms, we establish the general properties. In particular, the automorphisms constitute the group B(G) that includes the group of central automorphisms. Also, we fully describe B(Dn) forthe dihedral groups Dn,withn ∈ N∪{∞}.
Cite:
Borodin A.N.
, Neshchadim M.V.
, Simonov A.A.
Group Bijections Commuting with Inner Automorphisms
Siberian Mathematical Journal. 2024. V.65. N5. P.1015-1025. DOI: 10.1134/s0037446624050045 WOS Scopus РИНЦ OpenAlex
Group Bijections Commuting with Inner Automorphisms
Siberian Mathematical Journal. 2024. V.65. N5. P.1015-1025. DOI: 10.1134/s0037446624050045 WOS Scopus РИНЦ OpenAlex
Original:
Бородин А.Н.
, Нещадим М.В.
, Симонов А.А.
Групповые биекции, перестановочные с внутренними автоморфизмами
Сибирский математический журнал. 2024. Т.65. №5. С.808-819. DOI: 10.33048/smzh.2024.65.504 РИНЦ
Групповые биекции, перестановочные с внутренними автоморфизмами
Сибирский математический журнал. 2024. Т.65. №5. С.808-819. DOI: 10.33048/smzh.2024.65.504 РИНЦ
Dates:
| Submitted: | May 2, 2024 |
| Accepted: | Jun 20, 2024 |
| Published print: | Sep 25, 2024 |
| Published online: | Sep 25, 2024 |
Identifiers:
| Web of science: | WOS:001320442300018 |
| Scopus: | 2-s2.0-85204889808 |
| Elibrary: | 69920880 |
| OpenAlex: | W4402842310 |