iv : m at h / 96 01 20 2 v 1 [ m at h . G R ] 1 2 Ja n 19 96 SUBGROUPS OF SO ( 3 ) ASSOCIATED WITH TILINGS
نویسنده
چکیده
We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2π/p and 2π/q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p, q ≥ 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space. Subject Classification: 51F25, 52C22 1 Research supported in part by NSF Grant No. DMS-9304269 and Texas ARP Grant 003658-113 2 Research supported in part by an NSF Mathematical Sciences Postdoctoral Fellowship and Texas ARP Grant 003658-037
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تاریخ انتشار 1998