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…
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…