Linear constituents of certain character restrictions
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- by I. M. Isaacs and G. R. Robinson PDF
- Proc. Amer. Math. Soc. 126 (1998), 2615-2617 Request permission
Abstract:
Let $G$ be a finite irreducible complex linear group with $p$-power degree, where $p$ is a prime number. Then every $p’$-subgroup of $G$ that is normalized by a Sylow $p$-subgroup must be abelian. This and related results are proved using an elementary character-theoretic argument.References
- I. M. Isaacs and L. Scott, Blocks and subgroups, J. Algebra 20 (1972), 630–636. MR 297892, DOI 10.1016/0021-8693(72)90076-2
Additional Information
- I. M. Isaacs
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Email: isaacs@math.wisc.edu
- G. R. Robinson
- Affiliation: Department of Mathematics, University of Leicester, Leicester LE1 7RH, England
- Email: grr1@mcs.le.ac.uk
- Received by editor(s): February 14, 1997
- Communicated by: Ronald M. Solomon
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2615-2617
- MSC (1991): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-98-04339-1
- MathSciNet review: 1451809