On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2026, Volume: 64, Number: 2, Pages: 84-01 Pages count : 8 DOI: 10.1007/s10469-026-09814-8 | ||
| Tags | locally finite groups, series of a group, composition series, subgroups, non-locallysolvable groups. | ||
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-41-10003 |
Abstract:
Given a group G, we refer to the maximum number of non-locally-solvable factors in any finite subnormal series of any subgroup of G as the b-dimension of G. We describe the structure of locally finite groups of finite b-dimension. This generalizes some known results on periodic linear groups and locally finite groups of finite c-dimension.
Cite:
Buturlakin A.A.
On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors
Algebra and Logic. 2026. V.64. N2. P.84-01. DOI: 10.1007/s10469-026-09814-8 WOS Scopus OpenAlex
On Locally Finite Groups with Bounded Number of Non-Locally-Solvable Factors
Algebra and Logic. 2026. V.64. N2. P.84-01. DOI: 10.1007/s10469-026-09814-8 WOS Scopus OpenAlex
Dates:
| Submitted: | Oct 1, 2025 |
| Accepted: | Oct 8, 2025 |
| Published online: | Feb 11, 2026 |
Identifiers:
| Web of science: | WOS:001686874700001 |
| Scopus: | 2-s2.0-105030046850 |
| OpenAlex: | W7128600048 |
Citing:
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