Constructing ordinary representations of finite groups via extension
Year: 2025
Type: article
Abstract: Efficient practical methods are described for the construction of ordinary representations of a finite group G via the extension of existing representations defined on a proper subgroup of G . Using an implementation of these methods within the Magma Computer Algebra System, minimal-degree faithful ordinary representations of several of the large sporadic simple groups (including the Baby Monster) were explicitly constructed for the first time.
Source: Journal of Algebra
Author: Allan Steel
Institution: The University of Sydney
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,310
OpenAlex ID: W4417000387