We discuss the use of orbit-stabilizer and orbit reduction techniques for computing representatives of double cosets in finite soluble groups given by a polycyclic presentation. (C) 2001 Academic Press.
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Univ Cambridge, Ctr Math Sci, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, EnglandUniv Cambridge, Ctr Math Sci, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WB, England