Normal forms and symmetries of real hypersurfaces of finite type in $\\mathbb C^2$

2013 ◽  
Vol 62 (1) ◽  
pp. 1-32 ◽  
Author(s):  
Vladimir Ezhov ◽  
Martin Kolar ◽  
Gerd Schmalz
Keyword(s):  
Finite Type ◽  
Normal Forms ◽  
Real Hypersurfaces

scholarly journals Abstract commensurators of surface groups

2019 ◽  
pp. 1-16
Author(s):  
Khalid Bou-Rabee ◽  
Daniel Studenmund
Keyword(s):  
Fundamental Group ◽  
Finite Type ◽  
Computational Methods ◽  
Normal Forms ◽  
Computer Assisted ◽  
Surface Groups ◽  
Finitely Generated ◽  
Residually Finite ◽  
Hnn Extensions ◽  
Concrete Objects

Let [Formula: see text] be the fundamental group of a surface of finite type and [Formula: see text] be its abstract commensurator. Then [Formula: see text] contains the solvable Baumslag–Solitar groups [Formula: see text] for any [Formula: see text]. Moreover, the Baumslag–Solitar group [Formula: see text] has an image in [Formula: see text] that is not residually finite. Our proofs are computer-assisted. Our results also illustrate that finitely-generated subgroups of [Formula: see text] are concrete objects amenable to computational methods. For example, we give a proof that [Formula: see text] is not residually finite without the use of normal forms of HNN extensions.

scholarly journals On real hypersurfaces of finite type of ${\bf C}{\rm P}^{m}$

1984 ◽  
Vol 7 (3) ◽  
pp. 304-316
Author(s):  
A. Martínez ◽  
A. Ros
Keyword(s):  
Finite Type ◽  
Real Hypersurfaces

scholarly journals Flat analytic discs attached to real hypersurfaces of finite type

1994 ◽  
Vol 1 (3) ◽  
pp. 359-367 ◽  
Author(s):  
Serge Alinhac ◽  
M. S. Baouendi ◽  
Linda Preiss Rothschile
Keyword(s):  
Finite Type ◽  
Real Hypersurfaces ◽  
Analytic Discs
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