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math.GR2024
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.GR2024
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…