From the 1 of 7 linked papers with an AI index.
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Cyclic Probability of a Finite Group
Sayanta Chatterjee, Angsuman Das
The paper defines the cyclic probability of a finite group as the chance that two random elements generate a cyclic subgroup, and investigates bounds for this measure, showing how…
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 via Subgroup Counts
Angsuman Das, Hiranya Kishore Dey, Khyati Sharma
The number of subgroups and the number of cyclic subgroups are natural combinatorial invariants of a finite group. We investigate how restrictions on these quantities, together wit…
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 element…