Presentations for the Primitive Pomplex Reflection Group G27(Chinese)

Journal of East China Normal University(Natural Sc ›› 2005, Vol. 2005 ›› Issue (5/6): 63-71.

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Presentations for the Primitive Pomplex Reflection Group G₂₇(Chinese)

WANG Li

Department of Mathematics, East China Normal University, Shanghai 200062, China

Received:2004-09-24 Revised:2005-03-28 Online:2005-12-31 Published:2005-12-31
Contact: WANG Li

Abstract

Abstract: In [1, 1.9], Shi defined a congruent relation on the set of all presentations of a finite complex reflection groups G. Shi also gave all the non-congruent presentations of G with G∈{G₁₂, G₂₄,G₂₅, G₂₆} and proved that all those presentations he gave are essential[1, 7.1]. In this paper, we found all the non-congruent essential presentations of G₂₇.

Key words: congruent presentation, essential presentation, complex reflection group, presentation, congruent presentation, essential presentation, complex reflection group

CLC Number:

O152

WANG Li. Presentations for the Primitive Pomplex Reflection Group G₂₇(Chinese) [J]. Journal of East China Normal University(Natural Sc, 2005, 2005(5/6): 63-71.

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Presentations for the Primitive Pomplex Reflection Group G₂₇(Chinese)

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