P. Moravec

activity

20162025

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Showing 2018Show all

3 papers · 1 filter

math.GR2018

On finite $p$ -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 $p$ -groups in the given variety. Similar…

math.GR2018

Gaps in probabilities of satisfying some commutator-like identities

Costantino Delizia, Urban Jezernik, Primoz Moravec +1

We show that there is a positive constant $δ < 1$ such that the probability of satisfying either the $2$ -Engel identity $[X_{1}, X_{2}, X_{2}] = 1$ or the metabelian identity $[[X_1, X_2]…

math.GR2018

Exponents of Bogomolov multipliers

Primoz Moravec

We prove that if $G$ is a finite group, then the exponent of its Bogomolov multiplier divides the exponent of $G$ in the following four cases: (i) $G$ is metabelian, (ii) $\exp G=4…

On finite p-groups satisfying given laws

Gaps in probabilities of satisfying some commutator-like identities

Exponents of Bogomolov multipliers

On finite $p$ -groups satisfying given laws