9 citations · 28 across the 14 of their papers we have counts for
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math.GR2012★ 3 cited
Degeneration and orbits of tuples and subgroups in an Abelian group
Wesley Calvert, Kunal Dutta, Amritanshu Prasad
A tuple (or subgroup) in a group is said to degenerate to another if the latter is an endomorphic image of the former. In a countable reduced abelian group, it is shown that if tup…
math.GR2010★ 9 cited
Degenerations and orbits in finite abelian groups
Kunal Dutta, Amritanshu Prasad
A notion of degeneration of elements in groups is introduced. It is used to parametrize the orbits in a finite abelian group under its full automorphism group by a finite distribut…