Wielandt X-subgroups Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2024, Volume: 63, Number: 3, Pages: 201-216 Pages count : 16 DOI: 10.1007/s10469-025-09784-3 | ||
| Tags | Wielandt’s program, finite group, maximal X-subgroup, submaximal X-subgroup, Wielandt X-subgroup | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-21-00163 |
Abstract:
Let X be a nonempty class of finite groups closed under taking subgroups, homomorphic images, and extensions. We define the concept of a Wielandt X-subgroup in an arbitrary f inite group. It generalizes the concept of a submaximal X-subgroup introduced by H. Wielandt and is key in the framework of a program proposed by Wielandt in 1979. One of the central objectives of the program is to overcome difficulties associated with the reduction to factors of a subnormal series within the natural problem of searching for maximal X-subgroups. Wielandt X-subgroups possess a number of properties unshareable by submaximal X-subgroups. There is a hope that, due to these additional properties, the use of Wielandt X-subgroups will open up new possibilities in realizing Wielandt’s program
Cite:
Revin D.O.
Wielandt X-subgroups
Algebra and Logic. 2024. V.63. N3. P.201-216. DOI: 10.1007/s10469-025-09784-3 WOS Scopus OpenAlex
Wielandt X-subgroups
Algebra and Logic. 2024. V.63. N3. P.201-216. DOI: 10.1007/s10469-025-09784-3 WOS Scopus OpenAlex
Original:
Ревин Д.О.
Виландовы X-подгруппы
Алгебра и логика. 2024. Т.63. №3. С.301-322. DOI: 10.33048/alglog.2024.63.306 MathNet
Виландовы X-подгруппы
Алгебра и логика. 2024. Т.63. №3. С.301-322. DOI: 10.33048/alglog.2024.63.306 MathNet
Dates:
| Submitted: | May 20, 2024 |
| Accepted: | Apr 11, 2025 |
| Published print: | May 3, 2025 |
| Published online: | May 3, 2025 |
Identifiers:
| Web of science: | WOS:001480459600001 |
| Scopus: | 2-s2.0-105004216948 |
| OpenAlex: | W4410052493 |
Citing:
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