GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS
Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 645-654
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Little is known about the generators system of the higher dimensional Picard modular groups. In this paper, we prove that the higher dimensional Eisenstein–Picard modular group PU(3, 1;Z[ω3]) in three complex dimensions can be generated by four given transformations.
XIE, BAOHUA; WANG, JIEYAN; JIANG, YUEPING. GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS. Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 645-654. doi: 10.1017/S001708951200081X
@article{10_1017_S001708951200081X,
author = {XIE, BAOHUA and WANG, JIEYAN and JIANG, YUEPING},
title = {GENERATORS {OF} {THE} {EISENSTEIN{\textendash}PICARD} {MODULAR} {GROUP} {IN} {THREE} {COMPLEX} {DIMENSIONS}},
journal = {Glasgow mathematical journal},
pages = {645--654},
year = {2013},
volume = {55},
number = {3},
doi = {10.1017/S001708951200081X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951200081X/}
}
TY - JOUR AU - XIE, BAOHUA AU - WANG, JIEYAN AU - JIANG, YUEPING TI - GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS JO - Glasgow mathematical journal PY - 2013 SP - 645 EP - 654 VL - 55 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708951200081X/ DO - 10.1017/S001708951200081X ID - 10_1017_S001708951200081X ER -
%0 Journal Article %A XIE, BAOHUA %A WANG, JIEYAN %A JIANG, YUEPING %T GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS %J Glasgow mathematical journal %D 2013 %P 645-654 %V 55 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S001708951200081X/ %R 10.1017/S001708951200081X %F 10_1017_S001708951200081X
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