Computing projectors, injectors, residuals and radicals of finite soluble groups. (English) Zbl 0990.20008

The author presents algorithms for computing subgroups of a group related to Schunck and Fitting classes. They can be considered a generalization of methods of B. Eick and C. R. B. Wright for formations [J. Symb. Comput. 33, No. 2, 129-143 (2002; Zbl 0995.20004)]. As an application, the author obtains a method for computing normal subgroups for a solvable group, which improves on the algorithm of the reviewer [Proceedings of the 1998 international symposium on symbolic and algebraic computation, 194-198 (1998; Zbl 0943.20005)].


20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
68W30 Symbolic computation and algebraic computation
20-04 Software, source code, etc. for problems pertaining to group theory


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