20 citations · 152 across the 37 of their papers we have counts for
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math.GR2012★ 4 cited
Representing and counting the subgroups of the group Z_m x Z_n
Mario Hampejs, Nicki Holighaus, László Tóth +1
We deduce a simple representation and the invariant factor decompositions of the subgroups of the group , where and are arbitrary positive integ…
math.NT2012★ 1 cited
A note on the number of abelian groups of a given order
László Tóth
We point out an asymptotic formula for the power moments of the function , representing the number of non-isomorphic Abelian groups of order . For the quadratic moment thi…
math.GR2012★ 19 cited
On the number of cyclic subgroups of a finite abelian group
László Tóth
We prove by using simple number-theoretic arguments formulae concerning the number of elements of a fixed order and the number of cyclic subgroups of a direct product of several fi…