Results 1 to 10 of about 25 (23)

New Andrews–Curtis trivializations for Miller–Schupp group presentations

open access: yesExamples and Counterexamples
We present recent developments in the applications of automated theorem proving in the investigation of the Andrews–Curtis conjecture. We demonstrate previously unknown trivializations of group presentations from a parametric family MSn(w∗) of trivial ...
Alexei Lisitsa
exaly   +3 more sources

Automated theorem proving reveals a lengthy Andrews–Curtis trivialization for a Miller-Schupp trivial group presentation

open access: yesExamples and Counterexamples
We present an independently discovered Andrews–Curtis trivialization of the balanced trivial group presentation MS9(w∗)=〈a,b∣a−1b9ab−10,a−1b−1aba−1〉 obtained through automated theorem proving.
Alexei Lisitsa
doaj   +1 more source

Stable Andrews-Curtis trivialization of AK(3) revisited. A case study using automated deduction

open access: yesJournal of Computational Algebra
Recent work by Shehper et al. (2024) [13] proposed that the well-known Akbulut–Kirby presentation AK(3) is stably Andrews–Curtis (AC) equivalent to the trivial presentation, based on a reduction to a previously studied presentation P.
Alexei Lisitsa
doaj   +1 more source

Combinatorial methods and algorithms in low dimensional topology and the Andrews Curtis conjecture [PDF]

open access: yes, 2017
Fil: Fernández, Ximena Laura. Universidad de Buenos Aires.
Fernández, Ximena Laura
core  
Some of the next articles are maybe not open access.

Meromorphic matrix trivializations of factors of automorphy over a Riemann surface

Operators and Matrices, 2016
Joseph A Ball, Victor Vinnikov
exaly  

Stable flags, trivializations and regular connections

Pacific Journal of Mathematics, 2013
Eduardo Corel
exaly  

Generic trivializations of geometric theories

Mathematical Logic Quarterly, 2014
Alexander Berenstein   +1 more
exaly  

Trivializations of differential cocycles

Journal of Homotopy and Related Structures, 2013
Corbett Redden
exaly  

On necessary and sufficient conditions for differential flatness

Applicable Algebra in Engineering, Communications and Computing, 2010
Jean Lévine
exaly  

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