A cycle-tiling criterion characterizes when a multiset A in a finite nonabelian group G can be realized as quotients from two bijections, with the abelianization product condition shown insufficient even when the product in G is the identity, via a counterexample in S3.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A nonabelian twist on differences of bijections
A cycle-tiling criterion characterizes when a multiset A in a finite nonabelian group G can be realized as quotients from two bijections, with the abelianization product condition shown insufficient even when the product in G is the identity, via a counterexample in S3.