A Polycyclic Quotient Algorithm
Copyright policy )A Polycyclic Quotient Algorithm
An algorithm to compute polycyclic quotients of a group given by a finite presentation is discussed. The algorithm is based on a generalization of the Gröbner basis method to the integral group ring of a polycyclic group. Most of this material can be found in the author's thesis (Rutgers Univ., 1996). A simplified version of this paper is also available [in DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 28, 159-167 (1997; Zbl 0874.20020)].
- Rutgers, The State University of New Jersey United States
integral group rings, Generators, relations, and presentations of groups, Algebra and Number Theory, Group rings of infinite groups and their modules (group-theoretic aspects), Symbolic computation and algebraic computation, algorithms, Computational Mathematics, Derived series, central series, and generalizations for groups, polycyclic quotients, Software, source code, etc. for problems pertaining to group theory, Gröbner bases, polycyclic groups, finite presentations
integral group rings, Generators, relations, and presentations of groups, Algebra and Number Theory, Group rings of infinite groups and their modules (group-theoretic aspects), Symbolic computation and algebraic computation, algorithms, Computational Mathematics, Derived series, central series, and generalizations for groups, polycyclic quotients, Software, source code, etc. for problems pertaining to group theory, Gröbner bases, polycyclic groups, finite presentations
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