Work

Uniformly semi-rational simple groups

Year: 2025

Type: article

Abstract: A finite group G is called uniformly semi-rational if there exists an integer r such that the generators of every cyclic subgroup $$\langle x \rangle $$ ⟨ x ⟩ of G lie in at most two conjugacy classes, namely $$x^G$$ x G or $$(x^r)^G$$ ( x r ) G . In this paper, we provide a classification of uniformly semi-rational non-abelian simple groups with particular focus on alternating groups.

Source: Annali di Matematica Pura ed Applicata (1923 -)

DOI: 10.1007/s10231-025-01577-w

Author: Marco Vergani

Institution: University of Florence

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190