Intersections of Primary Subgroups in Nonsoluble Finite Groups Isomorphic to Ln(2m)

详细

Given a finite group G with socle isomorphic to L_n(2^m), we describe (up to conjugacy) all ordered pairs of primary subgroups A and B in G such that A ∩ B^g ≠ 1 for all g ∈ g.