Finite groups with a standard component whose centralizer has cyclic Sylow $2$-subgroups
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- by Larry Finkelstein PDF
- Proc. Amer. Math. Soc. 62 (1977), 237-241 Request permission
Abstract:
Let G be a finite group with $O(G) = 1$, A a standard component of G and X the normal closure of A in G. Furthermore, assume that $C(A)$ has cyclic Sylow 2-subgroups. Then conditions are given on A which imply that either $X = A$ or $C(A)$ has Sylow 2-subgroups of order 2. These results are then applied to the cases where A is isomorphic to $\cdot 0$ or Ru, proper 2-fold covering of the Rudvalis group.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 237-241
- MSC: Primary 20D05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0439928-2
- MathSciNet review: 0439928