S. Aivazidis

collaborators

2 papers

math.GR2026

Subgroup bounds for abelian $p$ -groups with applications

Stefanos Aivazidis

We prove an upper bound for the number of subgroups of an abelian $p$ -group, with constants that are sharp on homocyclic blocks. If $A_{I^} »$ has type $I^»$ , the main exponent is $Î·(Î…

math.GR2024

Counting in nilpotent injectors and Carter subgroups

Stefanos Aivazidis, Maria Loukaki, John Shareshian

We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or $N$ -constr…

Subgroup bounds for abelian p-groups with applications

Counting in nilpotent injectors and Carter subgroups

Subgroup bounds for abelian $p$ -groups with applications