Finite groups with nicely supplemented Sylow normalizers

Perin, David

doi:10.1090/S0002-9947-1973-0393219-8

Finite groups with nicely supplemented Sylow normalizers
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by David Perin

Trans. Amer. Math. Soc. 183 (1973), 431-435

DOI: https://doi.org/10.1090/S0002-9947-1973-0393219-8

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Abstract:

This paper considers finite groups G whose Sylow normalizers are supplemented by groups D having a cyclic Hall $2’$-subgroup. G is solvable and all odd order composition factors of G are cyclic. If $S \in {\text {Syl}_2}(D)$ is cyclic, dihedral, semidihedral, or generalized quaternion, then G is almost super-solvable.

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