Work

Expansion of normal subsets of odd‐order elements in finite groups

Year: 2026

Type: article

Abstract: Let be a finite group and a normal subset consisting of odd‐order elements. The rational closure of , denoted , is the set of elements with the property that for some in . If , we prove that is soluble.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70534

Authors: Chris Parker, Jack Saunders

Institutions: University of Birmingham, University of Bristol, Heilbronn Institute for Mathematical Research

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Engineering and Physical Sciences Research Council, Division of Mathematical Sciences

Award: Additional Funding for Mathematical Sciences: Heilbronn Institute for Mathematical Research

OpenAlex ID: W4416284968

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