Quasi-Permutation Representations of p -Groups of Class 2

DOI10.1112/S0024610797004882zbMath0876.20005MaRDI QIDQ4349851

Houshang Behravesh

Publication date: 23 November 1997

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

algorithmsfinite \(p\)-groupsfaithful permutation representationspermutation matricesminimal degreequasi-permutation matricesnilpotent groups of class 2integral traces

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite nilpotent groups, (p)-groups (20D15)

Related Items (10)

On faithful quasi-permutation representations of VZ-groups and Camina p-groups ⋮ A note on \(p\)-groups of order \(\leq p^4\). ⋮ On faithful quasi-permutation representations of groups of order p5 ⋮ Minimal faithful quasi-permutation representation degree of \(p\)-groups with cyclic center ⋮ Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups ⋮ Embeddings of minimal non-Abelian \(p\)-groups. ⋮ A note on quasi-permutation representations of groups with two character degrees. ⋮ Minimal degrees of faithful quasi-permutation representations for direct products of \(p\)-groups. ⋮ Quasi-permutation representations of the group \(\text{GL}_2(q)\) ⋮ Quasi-permutation representations of 2-groups satisfying the Hasse principle.

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