Our aim is to give information about all the interesting lattices in "low" dimensions (and to provide them with a "home page"!). The data-base now contains about 160,000 lattices!
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On the Magnus Function
Roger C. Alperin
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1 Introduction
There are uncountably many integer functions M : Z ¡! Z having the
properties
M(0) = 0;M(M(x)) = x;M(x) = M(M(x ¡ 1) ¡ 1) ¡ 1:
Using this B. Neumann [cf. M2] showed the existence of uncountably many
maximal non-parabolic subgroups of the modular group PSL2(Z).
O. Kutz, and T. Mossakowski. Proceedings of the Twenty-Fifth AAAI Conference on Artificial Intelligence and the Twenty-Third Innovative Applications of Artificial Intelligence Conference, page 227-234. AAAI Press; Menlo Park, CA, (2011)
E. Dashofy, A. van der Hoek, and R. Taylor. Proceedings of the 24rd International Conference on Software Engineering, 2002. ICSE 2002, page 266--276. IEEE, (May 2002)
A. Panagiotidis, D. Kauker, S. Frey, and T. Ertl. Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, Civil-Comp Press, (2011)