FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 211-222

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DOI

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.
DOI : 10.1017/S0017089510000649
Mots-clés : 20D10, 20D25
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
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     title = {FINITE {GROUPS} {WITH} {SOME} {WEAKLY} {S-SUPPLEMENTED} {SUBGROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {211--222},
     year = {2011},
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