Irreducibility testing of finite nilpotent linear groups.

DOI10.1016/j.jalgebra.2010.04.031zbMath1213.20043OpenAlexW1996990097MaRDI QIDQ606660

Tobias Rossmann

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.031

zbMATH Keywords

finite nilpotent groupsfinite linear groupsirreducibility testing

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear algebraic groups over arbitrary fields (20G15) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items

Primitive finite nilpotent linear groups over number fields ⋮ finn

Uses Software

• Magma
• Nilmat

Cites Work

• Decomposition of algebras over finite fields and number fields
• Recognition of division algebras.
• Decomposing homogeneous modules of finite groups in characteristic zero.
• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• On deciding finiteness of matrix groups.
• Character theory of finite groups
• The Magma algebra system. I: The user language
• Computing polycyclic presentations for polycyclic rational matrix groups.
• Difference algebra
• Algorithms for computing with nilpotent matrix groups over infinite domains.
• The \textsc{Meat}-\textsc{axe} and \(f\)-cyclic matrices
• On the representation of \(-1\) as a sum of two-squares in an algebraic number field
• Primitivity testing of finite nilpotent linear groups
• Computing in Nilpotent Matrix Groups
• Constructing Rational Representations of Finite Groups
• Generating random elements of a finite group
• Number Theory
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