Constructive Sylow theorems for the classical groups.

DOI10.1016/j.jalgebra.2007.03.013zbMath1135.20034OpenAlexW2021374629MaRDI QIDQ2464490

Mark Stather

Publication date: 21 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.013

zbMATH Keywords

conjugacySylow subgroupsefficient algorithmsclassical groups over finite fieldsmatrix group recognitioncomputational group theory

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (7)

Serial group rings of classical groups defined over fields with an odd number of elements ⋮ A practical model for computation with matrix groups. ⋮ Computing Hall subgroups of finite groups ⋮ When the group ring of a finite simple group is serial ⋮ Small intersections of principal blocks ⋮ Steinberg-like characters for finite simple groups ⋮ THE NUMBER OF PROFINITE GROUPS WITH A SPECIFIED SYLOW SUBGROUP

Uses Software

• Magma

Cites Work

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• Sylow's theorem in polynomial time
• On the uniqueness of wreath products
• Two-graphs and doubly transitive groups
• Testing matrix groups for primitivity
• Computing matrix group decompositions with respect to a normal subgroup
• The Sylow 2-subgroups of the finite classical groups
• On Some Simple Groups Defined by C. Chevalley
• Sylow Subgroups in Parallel
• Constructing Maximal Subgroups of Classical Groups
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p

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