The intersection of Sylow subgroups
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- by Avionam Mann PDF
- Proc. Amer. Math. Soc. 53 (1975), 262-264 Request permission
Addendum: Proc. Amer. Math. Soc. 62 (1977), 188.
Abstract:
Let $G$ be a finite soluble group. If the order of $G$ is not divisible by any Fermat or Mersenne primes, then there exist Sylow $2$-subgroups, $P$ and $Q$, such that $P \cap Q = {O_p}(G)$. This improves on a result of Itô. A similar result is proved for nilpotent injectors.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 262-264
- MSC: Primary 20D10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0384924-5
- MathSciNet review: 0384924