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Arithmeticality of nonuniform lattices

✍ Scribed by G. A. Margulis

Publisher: Springer US
Year: 1974
Tongue: English
Weight: 208 KB
Volume: 7
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01080708

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Consider an r-layer hexagon consisting of 3r2 + 3r + 1 hexagonal cells. Can one label the cells by the set N, = {0,1,. . . , 3r2+ 3r) such that each line of adjacent cells are labeled by numbers forming an arithmetic progression modulo (3r2+ 3r + 1) (in proper ordering)? We show that for each r ther