FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 211-222
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Let H be a subgroup of a group G. Then, we call H weakly s-supplemented in G if G has a subgroup T such that HT = G and H ∩ T ≤ HsG, where HsG is the largest s-permutable subgroup of G contained in H. In this paper, we use the weakly s-supplemented subgroups to characterize the structure of groups. A series of known results in the literature are unified and generalized.
GUO, WENBIN; SHUM, K. P.; XIE, FENGYAN. FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 211-222. doi: 10.1017/S0017089510000649
@article{10_1017_S0017089510000649,
author = {GUO, WENBIN and SHUM, K. P. and XIE, FENGYAN},
title = {FINITE {GROUPS} {WITH} {SOME} {WEAKLY} {S-SUPPLEMENTED} {SUBGROUPS}},
journal = {Glasgow mathematical journal},
pages = {211--222},
year = {2011},
volume = {53},
number = {2},
doi = {10.1017/S0017089510000649},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000649/}
}
TY - JOUR AU - GUO, WENBIN AU - SHUM, K. P. AU - XIE, FENGYAN TI - FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS JO - Glasgow mathematical journal PY - 2011 SP - 211 EP - 222 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000649/ DO - 10.1017/S0017089510000649 ID - 10_1017_S0017089510000649 ER -
%0 Journal Article %A GUO, WENBIN %A SHUM, K. P. %A XIE, FENGYAN %T FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS %J Glasgow mathematical journal %D 2011 %P 211-222 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000649/ %R 10.1017/S0017089510000649 %F 10_1017_S0017089510000649
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