Intersections of two nilpotent subgroups in finite groups with socle L2(q)


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Abstract

Given a finite group G with socle isomorphic to L2(q), q ≥ 4, we describe, up to conjugacy, all pairs of nilpotent subgroups A and B of G such that ABg ≠ 1 for all gG.

About the authors

V. I. Zenkov

Krasovskii Institute of Mathematics and Mechanics, Ural Federal University

Author for correspondence.
Email: zenkov@imm.uran.ru
Russian Federation, Ekaterinburg


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