Computing in Nilpotent Matrix Groups

DOI10.1112/S1461157000001212zbMath1124.20034OpenAlexW2083592367MaRDI QIDQ3430822

Alla S. Detinko, Dane L. Flannery

Publication date: 4 April 2007

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lms.ac.uk/jcm/9/lms2005-047/

zbMATH Keywords

algorithmsnilpotent matrix groups over finite fields

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (6)

Irreducibility testing of finite nilpotent linear groups. ⋮ Primitive finite nilpotent linear groups over number fields ⋮ Algorithms for computing with nilpotent matrix groups over infinite domains. ⋮ Linear groups and computation ⋮ Primitivity testing of finite nilpotent linear groups ⋮ Algorithms for the Tits alternative and related problems.

Uses Software

• Nilmat

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algorithms for matrix groups and the Tits alternative
• Finding intersections and normalizers in finitely generated nilpotent groups
• Testing matrix groups for primitivity
• Computing matrix group decompositions with respect to a normal subgroup
• Completely reducible infinite-dimensional skew linear groups
• Practical algorithms for polycyclic matrix groups
• The Nilpotency Class Of The p-Sylow Subgroups of GL(n, q) Where (p, q) = 1
• CLASSIFICATION OF NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS
• NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS
• On the orbit-stabilizer problem for integral matrix actions of polycyclic groups
• Endliche Gruppen I

This page was built for publication: Computing in Nilpotent Matrix Groups