NILPOTENCY OF THE GROUP OF UNITS OF A FINITE RING

DOI10.1017/S0004972708001019zbMath1172.16011OpenAlexW2121115678MaRDI QIDQ3624602

David Dolžan

Publication date: 30 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972708001019

zbMATH Keywords

finite ringsnilpotent groups of units

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (4)

Fuchs' problem for 2-groups ⋮ FINITE UNITARY RINGS IN WHICH ALL SYLOW SUBGROUPS OF THE GROUP OF UNITS ARE CYCLIC ⋮ Finite unitary ring with minimal non-nilpotent group of units ⋮ Finite unitary rings with a single subgroup of prime order of the group of units

Cites Work

• Unnamed Item
• Artinian rings having a nilpotent group of units
• Rings with many idempotents
• Factorization of units and groups of stable homotopy equivalences

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