Document Type
Article
Source of Publication
Communications in Algebra
Publication Date
1-1-2023
Abstract
This article is concerned with the classification of Schur covering groups of the elementary abelian group of order (Formula presented.), up to isomorphism. We consider those covering groups possessing a generating set of n elements having only two distinct squares. We show that such groups may be represented by 2-vertex-colored and 2-edge-colored graphs of order n. We show that in most cases, the isomorphism type of the group is determined by that of the 2-colored graph, and we analyze the exceptions.
DOI Link
ISSN
Publisher
Informa UK Limited
Disciplines
Mathematics
Keywords
Covering group, elementary abelian group, graph
Scopus ID
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Recommended Citation
Saleh, Dana and Quinlan, Rachel, "2-Uniform covering groups of elementary abelian 2-groups" (2023). All Works. 6070.
https://zuscholars.zu.ac.ae/works/6070
Indexed in Scopus
yes
Open Access
yes
Open Access Type
Hybrid: This publication is openly available in a subscription-based journal/series