Hardness of equations over finite solvable groups under the exponential time hypothesis

A Weiß - arXiv preprint arXiv:2002.10145, 2020 - arxiv.org
Goldmann and Russell (2002) initiated the study of the complexity of the equation
satisfiability problem in finite groups by showing that it is in P for nilpotent groups while it is …

[HTML][HTML] A survey on varieties generated by small semigroups and a companion website

J Araújo, JP Araújo, PJ Cameron, EWH Lee… - Journal of Algebra, 2023 - Elsevier
This paper presents new findings on varieties generated by small semigroups and groups,
and offers a survey of existing results. A companion website is provided which hosts a …

Equation satisfiability in solvable groups

P Idziak, P Kawałek, J Krzaczkowski, A Weiß - Theory of Computing …, 2024 - Springer
The study of the complexity of the equation satisfiability problem in finite groups had been
initiated by Goldmann and Russell in (Inf. Comput. 178 (1), 253–262,) where they showed …

Circuit equivalence in 2-nilpotent algebras

P Kawałek, M Kompatscher, J Krzaczkowski - arXiv preprint arXiv …, 2019 - arxiv.org
The circuit equivalence problem of a finite algebra $\mathbf A $ is the computational
problem of deciding whether two circuits over $\mathbf A $ define the same function or not …

On NP-complete search problems on finite algebras

B Rossi, E Aichinger - 2024 IEEE 54th International Symposium …, 2024 - ieeexplore.ieee.org
We investigate under which structural assumptions on a finite algebra A the problem 3SAT
with complexity measure the number of clauses can be reduced to POLSAT(A) in logarithmic …

[PDF][PDF] Equation satisfiability in solvable groups

J Krzaczkowski, A Weiß - arXiv preprint arXiv:2010.11788, 2020 - academia.edu
The study of the complexity of the equation satisfiability problem in finite groups had been
initiated by Goldmann and Russell in [10] where they showed that this problem is in P for …

[PDF][PDF] Circuit complexity of group theoretic problems

A Weiß - 2021 - d-nb.info
Eines der grundlegendsten Probleme der algorithmischen Gruppentheorie ist das
Wortproblem, das erstmals 1911 von Dehn beschrieben wurde [Deh11]. Für eine feste …

Solving Systems of Equations of Fixed Size over Finite Groups/submitted by Philipp Nuspl

P Nuspl - 2020 - epub.jku.at
We investigate the complexity of solving systems of polynomial equations over finite groups.
We give a survey on the known results for solving equations over general algebras, rings …