scholarly journals Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2

1976 ◽  
Vol 28 (3) ◽  
pp. 447-454 ◽  
Author(s):  
Etsuko BANNAI
Keyword(s):  
Fundamental Groups ◽  
Reflection Groups ◽  
Unitary Reflection ◽  
Dimension 2

Coxeter classes of unitary reflection groups

1995 ◽  
Vol 119 (1) ◽  
pp. 297-316 ◽  
Author(s):  
N. Spaltenstein
Keyword(s):  
Reflection Groups ◽  
Unitary Reflection

scholarly journals Which Abelian Groups Can be Fundamental Groups of Regions in Euclidean Spaces?

1974 ◽  
Vol 26 (1) ◽  
pp. 7-18
Author(s):  
Bai Ching Chang
Keyword(s):  
Finite Number ◽  
Abelian Groups ◽  
Special Consideration ◽  
Fundamental Groups ◽  
Euclidean Spaces ◽  
Dimension 2

It is known that there are a lot of properties of the group of a knot in S3 which fail to generalize to the group of a knotted sphere in S4; among them are included Dehn's lemma, Hopf's conjecture, and the aspherity of knots. In this paper, we shall investigate the properties of the fundamental groups of regions in S3 and in S4, with examples to show that they are not quite the same. Some special consideration will be given to regions that are the complements in S3 or in S4 of a finite number of tamely imbedded manifolds of co-dimension 2, and, more generally, to regions that are the complements of subcomplexes in S3 or in S4.

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