Subgroups of finite soluble groups inducing the same permutation character
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- by Norberto Gavioli PDF
- Trans. Amer. Math. Soc. 349 (1997), 2969-2980 Request permission
Abstract:
In this paper there are found necessary and sufficient conditions that a pair of solvable finite groups, say $G$ and $K$, must satisfy for the existence of a solvable finite group $L$ containing two isomorphic copies of $G$ and $H$ inducing the same permutation character. Also a construction of $L$ is given as an iterated wreath product, with respect to their actions on their natural modules, of finite one-dimensional affine groups.References
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Additional Information
- Norberto Gavioli
- Affiliation: Dipartimento di Matematica Pura ed Applicata, Università de L’Aquila, via Vetoio, I-67010 Coppito (AQ), Italy
- Email: gavioli@univaq.it
- Received by editor(s): October 7, 1994
- Received by editor(s) in revised form: January 4, 1996
- Additional Notes: Work partially supported by M.U.R.S.T
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 2969-2980
- MSC (1991): Primary {20C99, 20D10}
- DOI: https://doi.org/10.1090/S0002-9947-97-01696-6
- MathSciNet review: 1370642