A practical model for computation with matrix groups

作者：Baeaernhielm Henrik; Holt Derek; Leedham Green C R; O'Brien E A

来源：Journal of Symbolic Computation, 2015, 68: 27-60.

DOI：10.1016/j.jsc.2014.08.006

• Finite matrix groups
• Structural computation
• Composition tree

We describe an algorithm to compute a composition tree for a matrix group defined over a finite field, and show how to use the associated structure to carry out computations with such groups; these include finding composition and chief series, the soluble radical, and Sylow subgroups.

• 出版日期2015-6