WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?

DOI10.1142/S0219498813501144zbMath1291.16030arXiv1304.0143OpenAlexW2963041591MaRDI QIDQ5414201

Tommy Occhipinti, Christopher Davis

Publication date: 2 May 2014

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

Full work available at URL: https://arxiv.org/abs/1304.0143

zbMATH Keywords

group algebrassymmetric groupsalternating groupsgroup ringsunit groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (7)

Fuchs' problem for dihedral groups ⋮ How Many Units Can a Commutative Ring Have? ⋮ Fuchs' problem for 2-groups ⋮ Which finite simple groups are unit groups? ⋮ Fuchs' problem for endomorphisms of abelian groups ⋮ Is there an infinite field whose multiplicative group is indecomposable? ⋮ Fuchs' problem for \(p\)-groups

Uses Software

• Magma

Cites Work

• The Magma algebra system. I: The user language
• The Finite Simple Groups
• On the Group of Units of a Ring

This page was built for publication: WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?