Geodesic
FINITE GROUPS WITH SOME Z-PERMUTABLE SUBGROUPS*
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 145-150

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.1017/S0017089509990231
Mots-clés : 20D10, 20D20 
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
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