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.
Subgroups of finite solvable groups inducing the same permutation character
GAVIOLI, NORBERTO
1997-01-01
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.File in questo prodotto:
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