Fuchs' problem for 2-groups

DOI10.1016/j.jalgebra.2020.02.025zbMath1445.16036arXiv1904.07901OpenAlexW3014811257MaRDI QIDQ2178502

Eric Swartz, Nicholas J. Werner

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1904.07901

zbMATH Keywords

group ringfinite ring2-groupFuchs' problem

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Corrigendum to: ``Fuchs' problem for 2-groups ⋮ The modular isomorphism problem: a survey

Uses Software

• GAP

Cites Work

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• Fields with indecomposable multiplicative groups
• Fuchs' problem for dihedral groups
• Which finite simple groups are unit groups?
• Normal complements in mod p-envelopes
• An introduction to group rings
• Group of units in a finite ring
• Finite groups of units of finite characteristic rings
• Fuchs' problem for \(p\)-groups
• Fuchs' problem for indecomposable abelian groups
• Enumerating p -Groups. I: Inequalities
• NILPOTENCY OF THE GROUP OF UNITS OF A FINITE RING
• A Note on Normal Complements in mod p Envelopes
• How Many Units Can a Commutative Ring Have?
• On Fuchs' Problem about the group of units of a ring
• Finitely generated abelian groups of units
• Enumerating p -Groups
• WHICH ALTERNATING AND SYMMETRIC GROUPS ARE UNIT GROUPS?
• On the Group of Units of a Ring
• The Modular Group-Ring of a Finite p-Group
• Finite Rings Having a Cyclic Multiplicative Group of Units

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