Year: 2026
Type: preprint
Abstract: In this paper, we classify profinite groups whose closed subgroups are subnormal of defect at most two, providing profinite versions of theorems due to Heineken and to Mahdavianary. We also establish that if G is a finitely generated periodic pro-π group, where π is a finite set of odd primes, and all its procyclic subgroups are subnormal of defect at most 2, then G is a finite π-group in which every abelian subgroup is subnormal of defect at most 2.
Source: arXiv (Cornell University)
Authors: Porto, A. L. P., Lima, I., Silva, M.
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223675066