A presentation for the Eisenstein-Picard modular group in three complex dimensions
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 625-654
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A. Mark and J. Paupert [Presentations for cusped arithmetic hyperbolic lattices, 2018, arXiv:1709.06691.] presented a method to compute a presentation for any cusped complex hyperbolic lattice. In this note, we will use their method to give a presentation for the Eisenstein-Picard modular group in three complex dimensions.
Mots-clés :
Complex hyperbolic space, Eisenstein-Picard modular group, Coarse fundamental domain
Wang, Jieyan; Xie, Baohua. A presentation for the Eisenstein-Picard modular group in three complex dimensions. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 625-654. doi: 10.1017/S0017089523000186
@article{10_1017_S0017089523000186,
author = {Wang, Jieyan and Xie, Baohua},
title = {A presentation for the {Eisenstein-Picard} modular group in three complex dimensions},
journal = {Glasgow mathematical journal},
pages = {625--654},
year = {2023},
volume = {65},
number = {3},
doi = {10.1017/S0017089523000186},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000186/}
}
TY - JOUR AU - Wang, Jieyan AU - Xie, Baohua TI - A presentation for the Eisenstein-Picard modular group in three complex dimensions JO - Glasgow mathematical journal PY - 2023 SP - 625 EP - 654 VL - 65 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000186/ DO - 10.1017/S0017089523000186 ID - 10_1017_S0017089523000186 ER -
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