Zobrazeno 1 - 10
of 190
pro vyhledávání: '"BRADFORD, HENRY"'
Autor:
Bradford, Henry
In [K. Bou-Rabee, B. Seward, J. Reine Angwe. Math. 2016] Bou-Rabee and Seward constructed examples of finitely generated residually finite groups $G$ whose residual finiteness growth function $\mathcal{F}_G$ can be at least as fast as any prescribed
Externí odkaz:
http://arxiv.org/abs/2402.03556
We study the word image of words with constants in ${\rm GL}(V)$ and show that it is large provided the word satisfies some natural conditions on its length and its critical constants. There are various consequences: We prove that for every $l \geq 1
Externí odkaz:
http://arxiv.org/abs/2311.03981
Autor:
Bradford, Henry, Cashen, Christopher H., Fournier-Facio, Francesco, Bon, Nicolás Matte, Petyt, Harry
The conference `Geometric and Asymptotic Group Theory with Applications (GAGTA) 2023: Groups and Dynamics' took place at the Erwin Schr\"odinger Institute on July 17-21. These are the problems that were proposed during the Problem Session: Residual f
Externí odkaz:
http://arxiv.org/abs/2310.04207
We show that for any finite-rank free group $\Gamma$, any word-equation in one variable of length $n$ with constants in $\Gamma$ fails to be satisfied by some element of $\Gamma$ of word-length $O(\log (n))$. By a result of the first author, this log
Externí odkaz:
http://arxiv.org/abs/2306.15370
We prove that there exists a constant $c>0$ such that any finite group having no non-trivial mixed identity of length $\leq c$ is an almost simple group with a simple group of Lie type as its socle. Starting the study of mixed identities for almost s
Externí odkaz:
http://arxiv.org/abs/2306.14532
Autor:
Bradford, Henry
We introduce a notion of "local stability in permutations" for finitely generated groups. If a group is sofic and locally stable in our sense, then it is also locally embeddable into finite groups (LEF). Our notion is weaker than the "permutation sta
Externí odkaz:
http://arxiv.org/abs/2211.15249
We study the Hopf property for wreath products of finitely generated groups, focusing on the case of an abelian base group. Our main result establishes a strong connection between this problem and Kaplansky's stable finiteness conjecture. Namely, the
Externí odkaz:
http://arxiv.org/abs/2211.01510
Autor:
Bradford, Henry
We study the LEF growth function of a finitely generated LEF group $\Gamma$, which measures the orders of finite groups admitting local embeddings of balls in a word metric on $\Gamma$. We prove that any sufficiently smooth increasing function betwee
Externí odkaz:
http://arxiv.org/abs/2201.05052