arXiv Analytics

Sign in

arXiv:2106.11727 [math.GR]AbstractReferencesReviewsResources

Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action

Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha, Sumit Kumar Upadhyay

Published 2021-06-22Version 1

In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representations of a gyrogroup, and actions and representations of its Grothendieck group completion. We also introduce the concept of an action of a right gyrogroup.

Related articles: Most relevant | Search more
arXiv:2206.01672 [math.GR] (Published 2022-06-03)
Correspondence between factorability and normalisation in monoids
arXiv:2209.15375 [math.GR] (Published 2022-09-30)
Nonrealizability of certain representations in fusion systems
arXiv:2209.07986 [math.GR] (Published 2022-09-16)
On correspondence between right near-domains and sharply 2-transitive groups