2024; hysical and Mathematical Sciences, 58(2 (264): 37–46
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PROBABILISTIC IDENTITIES IN BURNSIDE GROUPS OF EXPONENT 3

Arman Fahradyan*

Received: 2025-01-17 · Published: 2024-10-30

© 2024 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
PROBABILISTIC IDENTITIES IN BURNSIDE GROUPS OF EXPONENT 3
Author
Arman Fahradyan
Published
2024-10-30
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSU:A.2024.58.2.037

Abstract

Burnside groups B(m,n) are relatively free groups that are factor groups of the absolutely free group Fm of rank m by its subgroup, generated by n-th degrees of all the elements. They are the largest groups of fixed rank that have the exponent equal to n. In this work we compute the commuting probability for free Burnside groups B(m,3) of exponent 3 and rank m ≥ 1.
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