Irreducible projective representations of finite nilpotent groups over number fields

DOI10.1016/0021-8693(79)90114-5zbMath0413.20009OpenAlexW2002945037MaRDI QIDQ1260117

Hans Opolka

Publication date: 1979

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90114-5

zbMATH Keywords

reciprocity lawSchur indexfinite nilpotent groupirreducible projective representationcyclic local algebras

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Projective representations and multipliers (20C25)

Related Items (2)

Representations of finite groups ⋮ Die verschränkte Gruppenalgebra einer endlichen Gruppe über einem Zahlkörper

Cites Work

• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• Faithful irreducible projective representations of metabelian groups
• The projective representations of the generalized symmetric group
• Einfache Algebren und projektive Darstellungen über Zahlkörpern
• Zerfällungskörper verschränkter Gruppenalgebren
• The Schur index for projective representations of finite groups
• Some remarks on Clifford's theorem and the Schur index
• Representations induced in an invariant subgroup
• Projective representations of extra-special p-groups
• Sur la décomposition des algèbres de groupes
• Endliche Gruppen I
• Zum expliziten Reziprozitätsgesetz von I. R. Šafarevič
• The Schur subgroup of the Brauer group
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