Counterexamples on the fusion of involutions in finite groups
HTML articles powered by AMS MathViewer
- by Stephen Doro PDF
- Proc. Amer. Math. Soc. 59 (1976), 23-24 Request permission
Abstract:
Some examples are given of simple groups $G$ containing a conjugacy class of involutions $\mathcal {C}$ such that if $S$ is a Sylow $2$-subgroup of $G$, then there exist subgroups $A \subseteq B \subseteq S$ with $|A:B| = 2$ and $\mathcal {C} \cap S \subseteq B - A$.References
- Walter Feit, Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0219636
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 23-24
- MSC: Primary 20D05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0409626-9
- MathSciNet review: 0409626