RETRACTED ARTICLE: Nonexistence of perfect locally finite minimal non-FC and CC-groups, and a characterization of perfect locally finite barely transitive groups

Ahmet Arıkan

doi:10.1007/s11587-025-01048-7

RETRACTED ARTICLE: Nonexistence of perfect locally finite minimal non-FC and CC-groups, and a characterization of perfect locally finite barely transitive groups

Ricerche di Matematica 2026 Open access

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Authors: Ahmet Arıkan

DOI: 10.1007/s11587-025-01048-7

Cited by: 0

References: 14

Abstract

Abstract In this short note we prove that if G is a perfect locally finite barely transitive group, then the finitary residual of G , namely $$\mathcal {F}(G)=\{g\in G|~|\text{ supp }(g)|

Fields of Study & Subjects

Finite Group Theory Research Advanced Topology and Set Theory Mathematics and Applications

Publication details

Journal / source: Ricerche di Matematica
Publication date: 12 January 2026
Language: EN

References 14