References & Citations
Mathematics > Group Theory
Title: The Burnside problem for odd exponents
(Submitted on 28 Mar 2023 (v1), revised 27 Mar 2024 (this version, v4), latest version 28 Mar 2024 (v5))
Abstract: We show that the free Burnside groups $B(n,m)$ are infinite for $n\geq 557$ and $m\geq 2$. This is the best currently known lower bound for the exponent. The proof uses iterated small cancellation theory where the induction is based on the nesting depth of relators. The main instrument at every step is a new concept of a certification sequence.
Submission history
From: Katrin Tent [view email][v1] Tue, 28 Mar 2023 14:10:31 GMT (63kb)
[v2] Sun, 23 Apr 2023 17:32:08 GMT (65kb)
[v3] Thu, 22 Jun 2023 17:11:00 GMT (64kb)
[v4] Wed, 27 Mar 2024 09:06:56 GMT (64kb)
[v5] Thu, 28 Mar 2024 06:28:47 GMT (64kb)
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