Structure of finite groups with restrictions on the set of conjugacy classes sizes Full article
| Journal |
Communications in Mathematics
ISSN: 1804-1388 , E-ISSN: 2336-1298 |
||
|---|---|---|---|
| Output data | Year: 2024, Volume: 32, Number: 1, Pages: 63–71 Pages count : 9 DOI: 10.46298/cm.9722 | ||
| Tags | finite groups, conjugacy class | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Президент РФ | 075-15-2022-449, МД-1264.2022.1.1 |
Abstract:
Let N(G) be the set of conjugacy classes sizes of G. We prove that if N(G) = 1n for specifc set of integers, then G A B where N(A) = , N(B) = 1n , and n is a power of prime.
Cite:
Gorshkov I.
Structure of finite groups with restrictions on the set of conjugacy classes sizes
Communications in Mathematics. 2024. V.32. N1. P.63–71. DOI: 10.46298/cm.9722 Scopus РИНЦ OpenAlex
Structure of finite groups with restrictions on the set of conjugacy classes sizes
Communications in Mathematics. 2024. V.32. N1. P.63–71. DOI: 10.46298/cm.9722 Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jun 22, 2022 |
| Accepted: | Jan 11, 2023 |
| Published online: | Feb 3, 2023 |
| Published print: | Mar 6, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85167915997 |
| Elibrary: | 60888353 |
| OpenAlex: | W4319318769 |