4 papers · 1 filter
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…
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…
Cyclic Subgroup Graph of a Group
Khyati Sharma, A. Satyanarayana Reddy
A cyclic subgroup graph of a group is a graph whose vertices are cyclic subgroups of and two distinct vertices and are adjacent if , and there is n…