Group of units in a finite ring

DOI10.1016/S0022-4049(01)00080-9zbMath0997.16020MaRDI QIDQ1602669

David Dolžan

Publication date: 24 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsgroups of unitsfinite rings

Mathematics Subject Classification ID

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

Related Items (9)

ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS ⋮ Unit Graphs Associated with Rings ⋮ Finite groups of units of finite characteristic rings ⋮ Finite Rings of Odd Order with Few Nilpotent and Idempotent Elements ⋮ Fuchs' problem for 2-groups ⋮ Is there an infinite field whose multiplicative group is indecomposable? ⋮ A Note on Periodic Rings ⋮ Characterizations of Mersenne and 2-rooted primes ⋮ Fuchs' problem for indecomposable abelian groups

Cites Work

• Compact rings having a finite simple group of units
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