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On the number of diamonds in the subgroup lattice of a finite abelian group

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.
Fodor Dan Gregorian, Tărnăuceanu Marius +1 more
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CH-groups which are finite p-groups [PDF]

International Journal of Group Theory, 2012
In their paper "Finite groups whose noncentral commuting elements have centralizers of equal size", S.Dolfi, M.Herzog and E. Jabara classify the groups in question- which they call CH-groups- up to finite p-groups. Our goal is to investigate the finite p-
Bettina Wilkens
doaj

Realization of finite Abelian groups by nets in $\mathbb{P}^2$ [PDF]

, 2004
Sergey Yuzvinsky
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Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj

Graphs of finite abelian groups [PDF]