Groups with central $2$-Sylow intersections of rank at most one
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- by Marcel Herzog and Ernest Shult PDF
- Proc. Amer. Math. Soc. 38 (1973), 465-470 Request permission
Abstract:
An involution in a finite group is called central if it lies in the center of a $2$-Sylow subgroup of $G$. A $2$-Sylow intersection is called central if it is either trivial or contains a central involution. Suppose $G$ is a finite simple group all of whose central $2$-Sylow intersections are trivial or rank one $2$-groups. It is proved that $G$ is a known simple group.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 465-470
- MSC: Primary 20D05; Secondary 20D20
- DOI: https://doi.org/10.1090/S0002-9939-1973-0430055-3
- MathSciNet review: 0430055