Transactions of the American Mathematical Society

Author(s): Norberto Gavioli
Journal: Trans. Amer. Math. Soc. 349 (1997), 2969-2980.
MSC (1991): Primary {20C99, 20D10}
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Abstract: In this paper there are found necessary and sufficient conditions that a pair of solvable finite groups, say $G$

and

, must satisfy for the existence of a solvable finite group $L$

containing two isomorphic copies of $G$

and

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.

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