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GENERATORS OF THE EISENSTEIN–PICARD MODULAR GROUP IN THREE COMPLEX DIMENSIONS
BAOHUA XIE, JIEYAN WANG, YUEPING JIANG
Journal:

Glasgow Mathematical Journal / Volume 55 / Issue 3 / September 2013

Published online by Cambridge University Press:

25 February 2013, pp. 645-654

Print publication:

September 2013
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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.