The Schur multiplier, fields, roots of unity, and a natural splitting

DOI10.1016/0021-8693(90)90231-CzbMath0691.20010MaRDI QIDQ582381

William F. Reynolds

Publication date: 1990

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

zbMATH Keywords

root of unityfinite groupSchur multiplieruniversal coefficient theoremcomplex projective representationsnatural splittingsplit exact sequence

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Projective representations and multipliers (20C25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary representations of group extensions. I
• Group extensions, representations, and the Schur multiplicator
• On blocks of twisted group algebras
• The Brauer splitting theorem and projective representations of finite groups over rings
• The exponent and the projective representations of a finite group
• The Schur index for projective representations of finite groups
• Beweis eines Satzes von Alperin und Kuo Tzee-Nan
• Cohomological topics in group theory.
• Blocks and Normal Subgroups of Finite Groups
• On the Representation of a Group of Order g in the Field of the g-Th Roots of Unity
• Projective representations of finite groups in cyclotomic fields
• Projective representations of finite groups in cyclotomic fields