7 papers
Cyclic Probability of a Finite Group
Sayanta Chatterjee, Angsuman Das
The cyclic probability, , of a finite group , is defined as the probability that two randomly selected elements of generate a cyclic subgroup of . In this paper, we…
Solvability of Groups via Cyclic Subgroup Count
Angsuman Das, Khyati Sharma
In this paper, we provide new criteria for the solvability and supersolvability of a finite group based on its number of cyclic subgroups. A finite group G is called n-cyclic if it…
Group Structure from Subgroup and Cyclic Subgroup Counts
Angsuman Das, Hiranya Kishore Dey, Cesar Galindo +1
For a finite group \(G\), let \(\sub(G)\) be the number of subgroups of \(G\), let \(\cyc(G)\) be the number of cyclic subgroups, and let \(π(G)\) be the number of distinct prime d…
Cayley colour integral groups
Sauvik Poddar, Angsuman Das
A finite group is said to be Cayley integral if every undirected Cayley graph on is integral. In this paper, we introduce three natural extensions…
Integral quasi-strongly regular Cayley graphs
Sauvik Poddar, Sucharita Biswas, Angsuman Das
Quasi-strongly regular graphs form a significant generalization of strongly regular graphs. We study the eigenvalues of a family of such graphs, , constructed from a finite…
Prime Order Element Graph of a Group -- II
Tapa Manna, Sauvik Poddar, Angsuman Das +1
In this sequel paper, we continue the analysis of the prime order element graph of a finite group , where vertices are elements of and edges connect distinct elements…
Forbidden Subgraphs of Prime Order Element Graph
Tapa Manna, Angsuman Das, Baby Bhattacharya
In this paper, we study different forbidden subgraph characterizations of the prime-order element graph defined on a finite group . Its set of vertices is the group a…