On the Number of Generator Sets of the Non-Cubic Symmetry Point Groups E. R. Kouyoumdjian 625 Hale Street, Palo Alto, CA 94301
The eenerator set of a eroun is the subset of the set of elements of the group. The ei'emehts of the generator set are used in the construction of the sets of defining relations. The defining relations in turn are used to generate the elements of the group and, therefore, define it. For the various symmetry point groups, generator sets with their constituent symmetry element(s) have been mentioned in one form or another by several authors (1-17). There is, however, no mention of a simnle wav for nredictina the total number of aenerator sets from the cbntenka of any generator set. Hence, the purpme for this study which covers the non-cubic symmetry point groups. The present study shows that the total number "N"of generator sets for a given symmetry point group can he determined from 1, The multiplicity "tr" o i t l w innin nri-. of proper imprc,pcr r
