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math.GR2024
Counting subgroups of the groups : a survey
László Tóth
We present a survey of exact and asymptotic formulas on the number of cyclic subgroups and total number of subgroups of the groups ${\Bbb Z}_{n_1} \times \cdots \times {\Bbb Z}_{n_…
math.GR2014★ 12 cited
Cyclicity degrees of finite groups
Marius Tărnăuceanu, László Tóth
We introduce and study the concept of cyclicity degree of a finite group . This quantity measures the probability of a random subgroup of to be cyclic. Explicit formulas are…