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Generalization of the Schur-Zassenhaus theorem. (English) Zbl 0935.20013
The main results of this paper are as follows: (1) If a Hall π-subgroup H of a finite group G is S-seminormal in G, then H has a complement in G and all such complements are conjugate in G. (2) If the Sylow p-subgroups of a finite group G are S-seminormal in G, then G is p-solvable.
MSC:
20D20Sylow subgroups of finite groups, Sylow properties, π-groups, π-structure
20D40Products of subgroups of finite groups
20D35Subnormal subgroups of finite groups
20D10Solvable finite groups, theory of formations etc.