15 citations · 27 across the 6 of their papers we have counts for
8 papers
On finite groups in which the twisted conjugacy classes of the unit element are subgroups
Chiara Nicotera
We consider groups such that the set is a subgroup for every automorphism of , and we prove that there exists such a group that is finit…
Gaps in probabilities of satisfying some commutator-like identities
Costantino Delizia, Urban Jezernik, Primoz Moravec +1
We show that there is a positive constant such that the probability of satisfying either the -Engel identity or the metabelian identity $[[X_1, X_2]…
Groups in which every non-nilpotent subgroup is self-normalizing
C. Delizia, U. Jezernik, P. Moravec +1
We study the class of groups having the property that every non-nilpotent subgroup is equal to its normalizer. These groups are either soluble or perfect. We completely describe th…
Groups in which every non-abelian subgroup is self-normalized
Costantino Delizia, Urban Jezernik, Primoz Moravec +1
We study groups having the property that every non-abelian subgroup is equal to its normalizer. This class of groups is closely related to an open problem posed by Berkovich. We gi…
Locally finite groups in which every non-cyclic subgroup is self-centralizing
Costantino Delizia, Urban Jezernik, Primoz Moravec +2
Locally finite groups having the property that every non-cyclic subgroup contains its centralizer are completely classified.
Groups in which every non-abelian subgroup is self-centralizing
Costantino Delizia, Heiko Dietrich, Primoz Moravec +1
We study groups having the property that every non-abelian subgroup contains its centralizer. We describe various classes of infinite groups in this class, and address a problem of…