Year: 2024
Type: article
Abstract: Let G be a finite group, and let $$\pi $$ π be a set of primes. The aim of this paper is to obtain some results concerning how much information about the $$\pi $$ π -structure of G can be gathered from the knowledge of the sizes of conjugacy classes of its $$\pi $$ π -elements and of their multiplicities. Among other results, we prove that this multiset of class sizes determines whether G has a hypercentral Hall $$\pi $$ π -subgroup.
Author: V. Sotomayor
Institution: Universitat Politècnica de València
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Awards: G209469329, G3081729958, G5578966692
OpenAlex ID: W4401517745