On a finite \(2,3\)-generated group of period \(12\).

zbMATH Open1334.20031arXiv1402.0633MaRDI QIDQ892027

Andrei V. Zavarnitsine

Publication date: 18 November 2015

Published in: Sibirskie Elektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Abstract: Using calculations in computer algebra systems along with some theoretic results, we construct the largest finite group of period 12 generated by an element of order 2 and an element of order 3. In particular, we prove that this group has order $2^{66}.3^7$.

Full work available at URL: https://arxiv.org/abs/1402.0633

zbMATH Keywords

periodic groupsBurnside problem

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05)

Related Items (1)

On groups of period 12.

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