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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 follo…
math.GR2024
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…