FINITE GROUPS WITH SOME Z-PERMUTABLE SUBGROUPS*
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 145-150
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Let Z be a complete set of Sylow subgroups of a finite group G; that is to say for each prime p dividing the order of G, Z contains one and only one Sylow p-subgroup of G. A subgroup H of G is said to be Z-permutable in G if H permutes with every member of Z. In this paper we characterise the structure of finite groups G with the assumption that (1) all the subgroups of Gp ∈ Z are Z-permutable in G, for all prime p ∈ π(G), or (2) all the subgroups of Gp ∩ F*(G) are Z-permutable in G, for all Gp ∈ Z and p ∈ π(G), where F*(G) is the generalised Fitting subgroup of G.
LI, YANGMING; WANG, LIFANG; WANG, YANMING. FINITE GROUPS WITH SOME Z-PERMUTABLE SUBGROUPS*. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 145-150. doi: 10.1017/S0017089509990231
@article{10_1017_S0017089509990231,
author = {LI, YANGMING and WANG, LIFANG and WANG, YANMING},
title = {FINITE {GROUPS} {WITH} {SOME} {Z-PERMUTABLE} {SUBGROUPS*}},
journal = {Glasgow mathematical journal},
pages = {145--150},
year = {2010},
volume = {52},
number = {1},
doi = {10.1017/S0017089509990231},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990231/}
}
TY - JOUR AU - LI, YANGMING AU - WANG, LIFANG AU - WANG, YANMING TI - FINITE GROUPS WITH SOME Z-PERMUTABLE SUBGROUPS* JO - Glasgow mathematical journal PY - 2010 SP - 145 EP - 150 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990231/ DO - 10.1017/S0017089509990231 ID - 10_1017_S0017089509990231 ER -
%0 Journal Article %A LI, YANGMING %A WANG, LIFANG %A WANG, YANMING %T FINITE GROUPS WITH SOME Z-PERMUTABLE SUBGROUPS* %J Glasgow mathematical journal %D 2010 %P 145-150 %V 52 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990231/ %R 10.1017/S0017089509990231 %F 10_1017_S0017089509990231
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