6 papers · 1 filter
On two group functors extending Schur multipliers
Heiko Dietrich, Primoz Moravec
Liedtke (2008) has introduced group functors and , which are used in the context of describing certain invariants for complex algebraic surfaces. He proved that these…
On finite -groups satisfying given laws
Primoz Moravec
A variety of groups does not contain all metabelian groups if and only if there is an absolute bound for the nilpotency classes of powerful -groups in the given variety. Similar…
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]…
Exponents of Bogomolov multipliers
Primoz Moravec
We prove that if is a finite group, then the exponent of its Bogomolov multiplier divides the exponent of in the following four cases: (i) is metabelian, (ii) $\exp G=4…
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…
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.