COSET DECOMPOSITIONS OF SPACE-GROUPS - APPLICATIONS TO DOMAIN-STRUCTURE ANALYSIS

Left- and double-coset decompositions of space groups are systematical ly analysed by putting the emphasis on the introduction of special aux iliary groups. An algorithm is tailored to exploit the specific struct ure of space groups. The new results are, amongst others, an efficient alternative method to determine for space groups minimal sets of doub le-coset representatives and a general formula that gives the structur e and number of left cosets that are contained in double cosets. Left- coset and double-coset decompositions of space groups are exploited in domain structure analysis.