Local nearrings with dihedral multiplicative group.

DOI10.1016/j.jalgebra.2003.10.007zbMath1048.16027OpenAlexW2024722296MaRDI QIDQ1427421

Bernhard Amberg, Peter Hubert, Yaroslav P. Sysak

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.007

zbMATH Keywords

groups of unitsfactorized groupsdihedral multiplicative groupslocal nearrings

Mathematics Subject Classification ID

Near-rings (16Y30) Noncommutative local and semilocal rings, perfect rings (16L30) Products of subgroups of abstract finite groups (20D40) Units, groups of units (associative rings and algebras) (16U60)

Related Items (9)

On local near-rings with Miller-Moreno multiplicative group. ⋮ Products of locally dihedral subgroups. ⋮ Classification of the affine structures of a generalized quaternion group of order \(\geqslant 32\) ⋮ Local nearrings with generalized quaternion multiplicative group. ⋮ Locally compact (2, 2)-transformation groups ⋮ Additive Groups of Local Near-Rings ⋮ Set-theoretic solutions to the Yang–Baxter equation, skew-braces, and related near-rings ⋮ Factorizations of groups and related topics. ⋮ Local nearrings with multiplicative Shmidt group

Cites Work

• Products of locally cyclic, torsion-free groups
• On local near-rings
• Local Near-Rings Of Cardinality P²
• ON THE CONSTRUCTION OF FINITE LOCAL NEAR-RINGS (I): ON NON-CYCLIC ABELIAN p-GROUPS
• ON THE CONSTRUCTION OF FINITE LOCAL NEAR-RINGS (II): ON NON-ABELIAN p-GROUPS
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