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math.GR2026
A nonabelian twist on differences of bijections
Mohsen Aliabadi
Hall's theorem on differences of bijections characterizes the multisets in a finite abelian group that can be written in the form $$ a_i=b_i-c_i, $…
math.GR2018
On matchable subsets in abelian groups and their linear analogues
Mohsen Aliabadi, Mano Vikash Janardhanan
In this paper, we introduce the notions of matching matrices in groups and vector spaces, which lead to some necessary conditions for existence of acyclic matching in abelian group…