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math.GR2023
Non-metacyclic groups acting with nilpotent centralizers
Emerson de Melo, Jhone Caldeira
Let be a non-metacyclic finite group. Suppose that acts coprimely on a finite group in such a manner that is nilpotent for any . In the present pa…
math.GR2023
Nilpotent Residual of a Finite Group
Eliana Rodrigues, Emerson de Melo, Gülin Ercan
Let be a nilpotent group acted on by a group via automorphisms and let the group admit the semidirect product as a group of automorphisms so that . We…