Source of Publication
Communications in Algebra
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.
Informa UK Limited
Covering group, elementary abelian group, graph
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Saleh, Dana and Quinlan, Rachel, "2-Uniform covering groups of elementary abelian 2-groups" (2023). All Works. 6070.
Indexed in Scopus
Open Access Type
Hybrid: This publication is openly available in a subscription-based journal/series