Bernardo Giuseppe Di Siena

collaborators

3 papers

math.GR2026

A torsion-free group of nilpotency class six with all subgroups subnormal of defect at most $5$

Mattia Brescia, Bernardo Giuseppe Di Siena, Marco Trombetti

Casolo asked whether a torsion-free group in which every subgroup is subnormal of defect at most $n$ must be nilpotent of class at most $n$ . The answer is known to be positive for…

math.GR2026

An antichain condition for infinite groups

Mattia Brescia, Bernardo Di Siena, Alessio Russo

Let $I ¨ $ be a subgroup-theoretical property. We introduce an \emph{antichain condition} $ac_{I ¨} $ which forbids the existence of infinite antichains of mutually permut…

math.GR2025

The Pseudocentre of a Group (with an appendix by Anthony Genevois)

Mattia Brescia, Bernardo Giuseppe Di Siena, Ernesto Ingross +1

In 1973, Jim Wiegold introduced the concept of pseudocentre P(G) of a group G as the intersection of the normal closures of the centralizers of its elements. He proved that the pse…

A torsion-free group of nilpotency class six with all subgroups subnormal of defect at most 5

An antichain condition for infinite groups

The Pseudocentre of a Group (with an appendix by Anthony Genevois)

A torsion-free group of nilpotency class six with all subgroups subnormal of defect at most $5$