3 papers
math.GR2026
Half of finite abelian groups are unit groups
Sunil K. Chebolu, Keir Lockridge
A group is called realizable if it is the group of units in a ring with identity. The classification of realizable groups is a difficult open problem -- originally posed by LászlÅ
math.GR2026
Fuchs' problem for linear groups
Keir Lockridge, Jacinda Terkel
Which groups can occur as the group of units in a ring? Such groups are called realizable. Though the realizable members of several classes of groups have been determined (e.g., cy…
math.GR2024
Fuchs' problem for endomorphisms of nonabelian groups
Sunil K. Chebolu, Keir Lockridge
In 1960, László Fuchs posed the problem of determining which groups are realizable as the group of units in some ring . In \cite{chebolu2022fuchs}, we investigated the fol…