5 papers
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…
Which Consciousness Can Be Artificialized? Local Percept-Perceiver Phenomenon for the Existence of Machine Consciousness
Shri Lal Raghudev Ram Singh
This paper presents a novel paradigm of the local percept-perceiver phenomenon to formalize certain observations in neuroscientific theories of consciousness. Using this model, a s…
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…
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…
-Chiral is same as Chiral
Shrinit Singh
A word in a free group is called {\em chiral} if there exists a group such that image of word map corresponding to word is not closed with respect to inverse. Similarly…