Characters of 𝑝-groups

Ford, Charles E.

doi:10.1090/S0002-9939-1987-0911015-2

Characters of $p$-groups
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by Charles E. Ford PDF

Proc. Amer. Math. Soc. 101 (1987), 595-601 Request permission

Abstract:

The following theorem is proved for any prime $p$: Every irreducible rational represention of a finite $p$-group is the difference of two transitive permutation representations. Also given are two useful results about representations of $p$-groups, which are known to experts in the field.

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