Infinite groups admitting a faithful irreducible representation

DOI10.1142/S0219498818500056zbMath1379.20003arXiv1602.06578OpenAlexW2963997242MaRDI QIDQ4599695

Fernando Szechtman, A. V. Tushev

Publication date: 4 January 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06578

zbMATH Keywords

irreducible representationlocally cyclic grouplocally finite groupfaithful representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Periodic groups; locally finite groups (20F50) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Modular representations and characters (20C20) Local properties of groups (20E25)

Related Items (4)

On the structure of groups admitting faithful modules with certain conditions of primitivity ⋮ Primitive irreducible representations of finitely generated nilpotent groups ⋮ On the primitive irreducible representations of finitely generated linear groups of finite rank ⋮ Groups having a faithful irreducible representation.

Cites Work

• Groups having a faithful irreducible representation.
• On faithful irreducible representations of locally normal groups
• The Jacobson radicals of the group algebras of a group and of certain normal subgroups
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