On Sylow intersections
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- by Marcel Herzog PDF
- Proc. Amer. Math. Soc. 37 (1973), 352-354 Request permission
Abstract:
Let G be a finite group, and let P be its Sylow p-subgroup. Suppose that ${O_p}(G) = 1$ and ${\Omega _1}(P)$ is abelian. Then there exists a Sylow p-subgroup ${P_1}$ of G such that $P \cap {P_1} = 1$.References
- Jerald S. Brodkey, A note on finite groups with an abelian Sylow group, Proc. Amer. Math. Soc. 14 (1963), 132–133. MR 142631, DOI 10.1090/S0002-9939-1963-0142631-X
- Marcel Herzog, Intersections of nilpotent Hall subgroups, Pacific J. Math. 36 (1971), 331–333. MR 280595
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 352-354
- MSC: Primary 20D20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310055-4
- MathSciNet review: 0310055