A straightforward solution to the Burnside Problem

2016/03/28 by S. Bachmuth, Bachmuth, Seymour
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1603.08421

openalex publication_date 2016/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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