The Brauer splitting theorem and projective representations of finite groups over rings

DOI10.1016/0021-8693(88)90131-7zbMath0675.20008OpenAlexW2072096390MaRDI QIDQ1121986

Freddy M. J. van Oystaeyen, Erna Nauwelaerts

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90131-7

zbMATH Keywords

crossed productsfinite groupsgroup ringssplitting fieldsSchur multiplierprojective representations2-cocyclessplitting rings

Mathematics Subject Classification ID

Projective representations and multipliers (20C25)

Related Items (13)

Generalized twisted group rings of finite groups ⋮ Applications of Frobenius algebras to representation theory of Schur algebras ⋮ Maximal graded orders over crystalline graded rings. ⋮ The twisted group ring isomorphism problem over fields ⋮ The projective Schur subgroup of the Brauer group and root groups of finite groups ⋮ Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras ⋮ Unnamed Item ⋮ A Note on Generalized Clifford Algebras and Representations ⋮ Isotropy in group cohomology ⋮ Semi-invariant matrices over finite groups. ⋮ The Schur multiplier, fields, roots of unity, and a natural splitting ⋮ Simple Twisted Group Algebras of Dimensionp⁴and their Semi-Centers ⋮ On regular 𝐺-gradings

Cites Work

• Azumaya strongly graded rings and ray classes
• On linearizable irreducible projective representations of finite groups
• Théorie de la descente et algèbres d'Azumaya
• On the Brauer splitting theorem
• Separable algebras over commutative rings
• Separable Algebras Over Commutative Rings
• Unnamed Item
• Unnamed Item

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