We study a class of finite p-groups admitting faithful irreducible complex representations of distinct degrees. In particular, for every prime p, we produce an example of such a p-group having minimal order p8
DI MARTINO, L., Tamburini, M. (1992). Some remarks on the degrees of faithful irreducible representations of a finite $p$-group. GEOMETRIAE DEDICATA, 41(2), 155-164 [10.1007/BF00182416].
Some remarks on the degrees of faithful irreducible representations of a finite $p$-group
DI MARTINO, LINO GIUSEPPE;
1992
Abstract
We study a class of finite p-groups admitting faithful irreducible complex representations of distinct degrees. In particular, for every prime p, we produce an example of such a p-group having minimal order p8
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