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math.GR2026
Group having 13 cyclic subgroups
Khyati Sharma
In [Finite groups with a small number of cyclic subgroups. Czechoslovak Mathematical Journal 75.3 (2025): 839-851], the authors classified all the groups having 13 cyclic subgroups…
math.GR2026
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…