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- W3020326565 abstract "Mark and Paupert devised a general method for obtaining presentations for arithmetic non-cocompact lattices, $$Gamma $$ , in isometry groups of negatively curved symmetric spaces. The method involves a classical theorem of Macbeath applied to a $$Gamma $$ -invariant covering by horoballs of the negatively curved symmetric space upon which $$Gamma $$ acts. In this paper, we will discuss the application of their method to the Picard modular groups, PU $$(2,1;{mathcal {O}}_{d})$$ , when $$d=2,11$$ , and obtain presentations for these groups, which completes the list of presentations for Picard modular groups whose entries lie in Euclidean domains, namely those with $$d=1,2,3,7,11$$ ." @default.
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- W3020326565 date "2020-04-22" @default.
- W3020326565 modified "2023-10-18" @default.
- W3020326565 title "Presentations for the Euclidean Picard modular groups" @default.
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- W3020326565 doi "https://doi.org/10.1007/s10711-020-00531-9" @default.
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