Fusion in the character table
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- by Gabriel Navarro PDF
- Proc. Amer. Math. Soc. 126 (1998), 65-66 Request permission
Abstract:
Suppose that $P$ is a Sylow $p$-subgroup of a finite $p$-solvable group $G$. If $g \in P$, then the number of $G$-conjugates of $g$ in $P$ can be read off from the character table of $G$.References
- I. M. Isaacs, Characters of $\pi$-separable groups, J. Algebra 86 (1984), no. 1, 98–128. MR 727371, DOI 10.1016/0021-8693(84)90058-9
- I. M. Isaacs, Fong characters in $\pi$-separable groups, J. Algebra 99 (1986), no. 1, 89–107. MR 836635, DOI 10.1016/0021-8693(86)90056-6
- M. Isaacs, Character Theory of Finite Groups, New York, Dover, 1994.
Additional Information
- Gabriel Navarro
- Affiliation: Departament d’Algebra, Facultat de Matematiques, Universitat de Valencia, 46100 Burjassot, Valencia, Spain
- MR Author ID: 129760
- Email: gabriel@uv.es
- Received by editor(s): August 5, 1996
- Additional Notes: Research partially supported by DGICYT
- Communicated by: Ronald M. Solomon
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 65-66
- MSC (1991): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-98-04134-3
- MathSciNet review: 1423326