Geodesic
INFLUENCE OF STRONGLY CLOSED 2-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 577-581

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Let H ≤ K be subgroups of a group G. We say that H is strongly closed in K with respect to G if whenever ag ∈ K, where a ∈ H, g ∈ G, then ag ∈ H. In this paper, we investigate the structure of a group G under the assumption that every subgroup of order 2m (and 4 if m = 1) of a 2-Sylow subgroup S of G is strongly closed in S with respect to G. Some results related to 2-nilpotence and supersolvability of a group G are obtained. This is a complement to Guo and Wei (J. Group Theory13(2) (2010), 267–276).
DOI : 10.1017/S0017089511000140
Mots-clés : Primary 20D20 
TONG-VIET, HUNG P. INFLUENCE OF STRONGLY CLOSED 2-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 577-581. doi: 10.1017/S0017089511000140
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