THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS-Reference-Cited by-同舟云学术

THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS

Published:1994-03 Issue:01n02 Volume:04 Page:1-308
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

IVANOV SERGEI V.¹²

Affiliation:

1. Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6, Canada

2. Current Address: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois IL 61801, USA

Abstract

The paper contains a self-contained construction of m-generated free Burnside groups B(m, n) of exponent n, where m>1, n≥248 and n is either odd or divisible by 29. As a corollary, one gets that the Burnside problem on the finiteness of finitely generated groups of exponent n is solved in the negative for almost all exponents.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196794000026

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