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).
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
@article{10_1017_S0017089511000140,
author = {TONG-VIET, HUNG P.},
title = {INFLUENCE {OF} {STRONGLY} {CLOSED} {2-SUBGROUPS} {ON} {THE} {STRUCTURE} {OF} {FINITE} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {577--581},
year = {2011},
volume = {53},
number = {3},
doi = {10.1017/S0017089511000140},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000140/}
}
TY - JOUR AU - TONG-VIET, HUNG P. TI - INFLUENCE OF STRONGLY CLOSED 2-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS JO - Glasgow mathematical journal PY - 2011 SP - 577 EP - 581 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000140/ DO - 10.1017/S0017089511000140 ID - 10_1017_S0017089511000140 ER -
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