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Centroids of commutatively transitive groups Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2025, Volume: 64, Number: 2, Pages: 113-125 Pages count : 13 DOI: 10.1007/s10469-026-09818-4
Tags commutatively transitive group, centroid, lamplighter group, free solvable group.
Authors Treier A.V. 1 , Chesnokov I.A. 1
Affiliations
1 Omsk Division of Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Omsk, Russia;

Funding (1)

1 Министерство науки и высшего образования РФ FWNF-2026-0033

Abstract: We describe of centroids of commutatively transitive groups and obtain a criterion for a group to be commutatively transitive. Based on this result, we describe the structures of centroids of lamplighter groups and free solvable groups.
Cite: Treier A.V. , Chesnokov I.A.
Centroids of commutatively transitive groups
Algebra and Logic. 2025. V.64. N2. P.113-125. DOI: 10.1007/s10469-026-09818-4 WOS Scopus
Dates:
Submitted: Nov 7, 2024
Accepted: Dec 18, 2024
Published online: Feb 16, 2026
Identifiers:
Web of science: WOS:001691055200001
Scopus: 2-s2.0-105030142456
Citing: Пока нет цитирований
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