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math.GR2026
On the almost palindromic width of certain free constructions of groups
Krishnendu Gongopadhyay, Shrinit Singh
We provide a general structural criterion implying that a group has infinite -almost palindromic width. In particular, we prove that both HNN extensions and free products exhibi…
math.GR2026
A note on words having the same image on finite groups
Shrinit Singh
In this work, we explore the following question: If two words in a finitely generated free group have identical images as word maps on every finite group, must they be endomorphic…
math.GR2026
Subgroup measures and profinite rigidity in free groups
Shrinit Singh
Let be a finitely generated subgroup of a finitely generated group . Restriction of a uniformly random homomorphism , with finite, defines a probability measure…