References & Citations
Mathematics > Group Theory
Title: The Burnside problem for odd exponents
(Submitted on 28 Mar 2023 (v1), revised 22 Jun 2023 (this version, v3), latest version 28 Mar 2024 (v5))
Abstract: We show that the free Burnside groups $B(n,m)$ are infinite for $n\geq 557$ and $m\geq 2$. The proof uses iterated small cancellation theory where the induction based on the nesting depth of relators. The main instrument at every step is a new concept of a certification sequence. This decreases the best known lower bound in the Burnside problem for odd exponents from 665 to 557.
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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