4 papers · 1 filter
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…