On Finite Simply Reducible Groups
نویسنده
چکیده
A finite group G is said to be simply reducible (SR-group) if it has the following two properties: 1) each element of G is conjugate to its inverse; 2) the tensor product of every two irreducible representations is decomposed as a sum of irreducible representations of G with multiplicities not exceeding 1. It is proved that a finite SR-group is solvable if it has no composition factors isomorphic to the alternating groups A5 or A6.
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تاریخ انتشار 2008