In the infinite dihedral group every integer difference |AA^{-1}| - |A^{-1}A| is achievable while in the free group F_2 only even integers are achievable, with constructions and minimum sizes for nonzero difference depending on order-2 elements.
S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.6)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Comparing Left and Right Quotient Sets in Groups
In the infinite dihedral group every integer difference |AA^{-1}| - |A^{-1}A| is achievable while in the free group F_2 only even integers are achievable, with constructions and minimum sizes for nonzero difference depending on order-2 elements.