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math.GR2023
Non-singular word maps for linear groups
Henry Bradford, Jakob Schneider, Andreas Thom
We study the word image of words with constants in and show that it is large provided the word satisfies some natural conditions on its length and its critical consta…
math.GR2023
The length of mixed identities for finite groups
Henry Bradford, Jakob Schneider, Andreas Thom
We prove that there exists a constant such that any finite group having no non-trivial mixed identity of length is an almost simple group with a simple group of Lie…
math.GR2023
On the length of non-solutions to equations with constants in some linear groups
Henry Bradford, Jakob Schneider, Andreas Thom
We show that for any finite-rank free group , any word-equation in one variable of length with constants in fails to be satisfied by some element of of word-length $…