English

A straightforward solution to the Burnside Problem

Group Theory 2016-03-29 v1

Abstract

We present a solution to the Burnside Problem for 2 generator groups of prime-power exponent that does not rely on induced maps as in [2]. As before, we construct a surjective map of a rank 2 free group to a solvable group G and finish by showing that the Burnside group is an image of G. Theorem B in the paper with H. A. Heilbronn and H. Y. Mochizuki [9] is indispensable in the proof.

Keywords

Cite

@article{arxiv.1603.08421,
  title  = {A straightforward solution to the Burnside Problem},
  author = {Seymour Bachmuth},
  journal= {arXiv preprint arXiv:1603.08421},
  year   = {2016}
}

Comments

22 pages. arXiv admin note: substantial text overlap with arXiv:0803.1612

R2 v1 2026-06-22T13:19:44.422Z