本原复反射群G_(27)的表出

Presentations for the Primitive Pomplex Reflection Group G_(27)

在有限复反射群的所有表出构成的集合上,时俭益定义了一个同余关系,并给出了群G_(12),G_(24),G_(25),G_(26)的所有不同余的本质表出．本文给出了群G_(27)的所有不同余的本质表出．

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 6 {G_(12),G_(24),G_(25),G_(26)} 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 G_(27).