scholarly journals Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes

2017 ◽  
Vol 193 (1) ◽  
pp. 121-143
Author(s):  
William Norledge ◽  
Anne Thomas ◽  
Alina Vdovina
Keyword(s):  
Maximal Torsion ◽  
Free Subgroups ◽  
Torsion Free

Maximal torsion free subgroups of polycyclic by finite groups

1977 ◽  
Vol 29 (1) ◽  
pp. 39-40
Author(s):  
D. C. Brewster ◽  
J. C. Lennox
Keyword(s):  
Finite Groups ◽  
Maximal Torsion ◽  
Free Subgroups ◽  
Torsion Free

scholarly journals A family of conformally asymmetric Riemann surfaces

1997 ◽  
Vol 39 (2) ◽  
pp. 221-225 ◽  
Author(s):  
Brent Everitt
Keyword(s):  
Automorphism Group ◽  
Riemann Surfaces ◽  
Coset Diagrams ◽  
Free Subgroups ◽  
Torsion Free

AbstractWe give explicit examples of asymmetric Riemann surfaces (that is, Riemann surfaces with trivial conformal automorphism group) for all genera g ≥ 3. The technique uses Schreier coset diagrams to construct torsion-free subgroups in groups of signature (0; 2,3,r) for certain values of r.

ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON

2002 ◽  
Vol 12 (01n02) ◽  
pp. 223-246 ◽  
Author(s):  
ROSTISLAV I. GRIGORCHUK ◽  
ANDRZEJ ŻUK
Keyword(s):  
Forthcoming Paper ◽  
Galois Groups ◽  
Branch Group ◽  
Free Subgroups ◽  
Torsion Free

We study a torsion free weakly branch group G without free subgroups defined by a three state automaton which appears in different problems related to amenability, Galois groups and monodromy. Here and in the forthcoming paper [20] we establish several important properties of G related to fractalness, branchness, just infinitness, growth, amenability and presentations.

scholarly journals Nilpotent quotients of fundamental groups of special 3-manifolds with boundary

1998 ◽  
Vol 58 (2) ◽  
pp. 233-237
Author(s):  
Gabriela Putinar
Keyword(s):  
Fundamental Group ◽  
Betti Number ◽  
Fundamental Groups ◽  
Manifolds With Boundary ◽  
Manifold With Boundary ◽  
Maximal Torsion ◽  
Torsion Free

We use a Betti number estimate of Freedman-Hain-Teichner to show that the maximal torsion-free nilpotent quotient of the fundamental group of a 3-manifold with boundary is either Z or Z ⊕ Z. In particular we reobtain the Evans-Moser classification of 3-manifolds with boundary which have nilpotent fundamental groups.

scholarly journals Torsion free subgroups of fuchsian groups and tessellations of surfaces

1982 ◽  
Vol 69 (3) ◽  
pp. 331-346 ◽  
Author(s):  
Allan L. Edmonds ◽  
John H. Ewing ◽  
Ravi S. Kulkarni
Keyword(s):  
Fuchsian Groups ◽  
Free Subgroups ◽  
Torsion Free
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