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- W2585677068 abstract "We prove that for every $n in mathbb{N}$ and $delta>0$ there exists a word $w_n in F_2$ of length $n^{2/3} log(n)^{3+delta}$ which is a law for every finite group of order at most $n$. This improves upon the main result of [A. Thom, About the length of laws for finite groups, Isr. J. Math.]. As an application we prove a new lower bound on the residual finiteness growth of non-abelian free groups." @default.
- W2585677068 created "2017-02-10" @default.
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- W2585677068 date "2017-01-27" @default.
- W2585677068 modified "2023-09-27" @default.
- W2585677068 title "Short Laws for Finite Groups and Residual Finiteness Growth" @default.
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