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Gyrogroup extensions and semi cross product
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
The aim of the article is to study the extension theory of gyrogroups under certain conditions. Consequently, we see that there is an equivalence between the category GEXT of group…
Farey-subgraphs and Continued Fractions
S. Kushwaha, R. Sarma
In this note, we study a family of subgraphs of the Farey graph, denoted as for every We show that is connected if and only if …
Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +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 representati…
Hamiltonicity of doubly semi-equivelar maps on the torus
Yogendra Singh, Anand Kumar Tiwari, Seema Kushwaha
The well-known twenty types of 2-uniform tilings of the plane give rise infinitely many doubly semi-equivelar maps on the torus. In this article, we show that every such doubly sem…