3 citations · 6 across the 4 of their papers we have counts for
4 papers
A straightforward solution to the Burnside Problem
Seymour Bachmuth
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…
Solution to the Burnside Problem
Seymour Bachmuth
The Burnside Problem asks whether a finitely generated group of exponent n is finite. We present a solution for 2-generator groups of prime power exponent. Results of P. Hall and G…
The Generalized Burnside Theorem
S. Bachmuth
All groups have 2 generators. For every prime power q, the Generalized Burnside Theorem (Theorem GB) produces an infinite number of solvable groups, Some, such as groups of a prime…
Solvable matrix groups and the Burnside problem
Seymour Bachmuth
All groups are 2-generator. For any prime-power q, Theorem 1 constructs a solvable matrix group over a quotient of a Laurent polynomial ring. This group is closely related to a gro…