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math.GR2022★ 1 cited
On the structure of -nilpotent groups
M. Amiri, I. Kashuba, I. Lima
For a finite group , let be the subgroup generated by elements such that, for all and all integers , the order of divides the least common multi…
math.RA2022
Finite unitary rings all of whose groups of units of all their subrings except of the ring itself are solvable
Mohsen Amiri, Wilhelm Alexander Cardoso Steinmetz
Let R be a finite unitary ring whose group of units is not solvable but all groups of units of all its proper subrings are solvable. In this paper we classify these rings and show…