1 citations · 1 across the 5 of their papers we have counts for
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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…
Cyclic Subgroup Graph of a Group
Peter J. Cameron, Khyati Sharma, A. Satyanarayana Reddy
A cyclic subgroup graph of a group is a graph whose vertices are cyclic subgroups of the group, and two distinct vertices are adjacent if one is a maximal subgroup of the other. In…
CLT-groups with cyclic or abelian subgroups
Khyati Sharma, A. Satyanarayana Reddy
A finite group is called a CLT-group if it contains a subgroup corresponding to every divisor of the order of the group. It is said to be a Cyclic (Abelian) CLT group if it contain…