contractible manifold
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scholarly journals NEW EXAMPLES OF FINITELY PRESENTED GROUPS WITH STRONG FIXED POINT PROPERTIES

2009 ◽  
Vol 01 (01) ◽  
pp. 1-12 ◽  
Author(s):  
INDIRA CHATTERJI ◽  
MARTIN KASSABOV
Keyword(s):  
Fixed Point ◽  
Compact Manifold ◽  
Finitely Presented Groups ◽  
Finite Presentation ◽  
Finite Dimensional ◽  
Fixed Point Properties ◽  
Finitely Presented ◽  
Contractible Manifold

We give an explicit finite presentation of a group normally generated by SL∞(ℤ). As a consequence, such a group cannot act on e.g. a finite dimensional contractible manifold or on a compact manifold.

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