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Generators of the sister of Euclidean Picard modular groups

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Abstract

The sister of Eisenstein–Picard modular group was described in Parker (Duke Math J 94(3):433–464, 1998). In fact, one can define the sister groups of all Picard modular groups. In particular, we find the generators of the sister of Euclidean Picard modular groups by using a geometric method.

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Acknowledgments

The author would like to thank Professor E. Falbel for useful discussions during his visit to Université Pierre et Marie Curie. I also thank Jieyan Wang for discussion on this paper. This work was supported by NSFC (Nos. 11201134, 11071059).

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  1. College of Mathematics and Econometrics, Hunan University, Changsha, 410082, People’s Republic of China

    Baohua Xie

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  1. Baohua Xie
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Xie, B. Generators of the sister of Euclidean Picard modular groups. Math. Z. 286, 521–543 (2017). https://doi.org/10.1007/s00209-016-1770-2

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