An \(L_2\)-quotient algorithm for finitely presented groups.

DOI10.1016/j.jalgebra.2009.03.026zbMath1253.20033OpenAlexW2082232275MaRDI QIDQ731255

A. Fabiańska, Wilhelm Plesken

Publication date: 2 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.026

zbMATH Keywords

Chebyshev polynomialsfinitely presented groupsmatrix representationsnumbers of normal subgroups\(L_2\)-quotient algorithmnumbers of epimorphisms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (11)

Recent progress in an algebraic analysis approach to linear systems ⋮ Link indices of Hurwitz maps ⋮ On non-surjective word maps on \(\mathrm{PSL}_2(\mathbb{F}_q)\) ⋮ Universal covers of finite groups ⋮ A method for building permutation representations of finitely presented groups ⋮ An \(L_2\)-quotient algorithm for finitely presented groups on arbitrarily many generators. ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ Computing minimal associated primes in polynomial rings over the integers ⋮ Algorithms determining finite simple images of finitely presented groups ⋮ Separable algebras over infinite fields are 2-generated and finitely presented. ⋮ DETERMINING ASCHBACHER CLASSES USING CHARACTERS

Uses Software

• Magma
• Janet
• JanetOre

Cites Work

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• Noether normalization guided by monomial cone decompositions
• On some questions about a family of cyclically presented groups.
• Counting solutions of polynomial systems via iterated fibrations
• Chebotarëv and his density theorem
• The Magma algebra system. I: The user language
• Analysing finitely presented groups by constructing representations
• Janet's approach to presentations and resolutions for polynomials and linear PDEs
• Representations, commutative algebra, and Hurwitz groups.
• On the spinor norm
• A Cohomological Criterion for a Finitely Presented Group to be Infinite

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