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math.GR2025
On the deep commuting graph of a finite group
Sumana Hatui, Sanjay Mukherjee, Kamal Lochan Patra
Let be a finite group and let be a Schur cover of . The deep commuting graph of is a simple graph with vertex set , where two distinct vertices a…
math.GR2025
Finite groups with nearly half as many cyclic subgroups as elements
Vaibhav Chhajer, Sumana Hatui, Palash Sharma
Suppose denotes the set of all cyclic subgroups of a finite group , and denotes the number of elements of order in . In [Marius T., Finite gro…