Complements to solvable Hall subgroups
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- by Robert Gilman
- Proc. Amer. Math. Soc. 27 (1971), 241-243
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269742-7
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Abstract:
A Hall subgroup $H$ of a finite group $G$ is a subgroup whose order is relatively prime to its index. We show that if $H$ is solvable and if the way prime power elements of $H$ are conjugate in $G$ is restricted, then $G$ has a quotient isomorphic to $H$.References
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- Richard Brauer, On quotient groups of finite groups, Math. Z. 83 (1964), 72–84. MR 159872, DOI 10.1007/BF01111110
- Michio Suzuki, On the existence of a Hall normal subgroup, J. Math. Soc. Japan 15 (1963), 387–391. MR 158935, DOI 10.2969/jmsj/01540387
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 241-243
- MSC: Primary 20.43
- DOI: https://doi.org/10.1090/S0002-9939-1971-0269742-7
- MathSciNet review: 0269742