Bernardo Giuseppe Di Siena

collaborators

2 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 $χ$ be a subgroup-theoretical property. We introduce an \emph{antichain condition} $ac_{χ}$ which forbids the existence of infinite antichains of mutually permutab…

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

An antichain condition for infinite groups

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