A Relative cohomological invariant for group pairs.
Page 1 Next
Displaying 1 – 20 of 111
A remark on subgroups of infinite index in Poincaré duality groups.
R. Strebel (1977)
Commentarii mathematici Helvetici
Algebraic properties of mapping class groups of surfaces
N. V. Ivanov (1986)
Banach Center Publications
Almost-Bieberbach groups with prime order holonomy
Karel Dekimpe, Wim Malfait (1996)
Fundamenta Mathematicae
The main issue of this paper is an attempt to find a decomposition theorem for infra-nilmanifolds in the same spirit as a result of A. Vasquez for flat Riemannian manifolds. That is: we look for infra-nilmanifolds with prime order holonomy which can be obtained as a fiber space with a non-trivial nilmanifold as fiber and an infra-nilmanifold as its base. In this perspective, we prove the following algebraic result: if E is an almost-Bieberbach group with prime order holonomy,...
An Abelian Quotient of the Mapping Class Group ...g.
Dennis Johnson (1980)
Mathematische Annalen
An analytic interpretation of real dimension subgroups.
Tasić, Vladimir (1998)
Novi Sad Journal of Mathematics
An infinite-dimensional torsion-free FP...group.
Kenneth S. Brown, R. Geoghegan (1984)
Inventiones mathematicae
Artin-Gruppen und Coxeter-Gruppen.
Kyoji Saito, Egbert Brieskorn (1972)
Inventiones mathematicae
Aspherical four-manifolds and the centres of two-knot groups.
Jonathan A. Hillman (1981)
Commentarii mathematici Helvetici
Aspherical Group Presentations.
Donald J. Collins, Ian M. Chiswell (1981)
Mathematische Zeitschrift
Automorphisms of free groups and their fixed points.
E.C. Turner, Richard S. Goldstein (1984)
Inventiones mathematicae
Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov.
J.D. McCarthy (1986)
Inventiones mathematicae
Caractéristiques d'euler et groupes fondamentaux des variétés de dimension 4.
J.-C. Hausmann, Shmuel Weinberger (1985)
Commentarii mathematici Helvetici
Coherence of 3-manifold fundamental groups
John Stallings (1975/1976)
Séminaire Bourbaki
Cohomological dimension and symmetric automorphisms of a free group.
Donald J. Collins (1989)
Commentarii mathematici Helvetici
Combins of Semidrect Products and 3-Manifold Groups.
M.B. Bridson (1993)
Geometric and functional analysis
Commensurations of the Johnson kernel.
Brendle, Tara E., Margalit, Dan (2004)
Geometry & Topology
Conformally non-sperical 2-complexes.
Jon Michael Corson (1993)
Mathematische Zeitschrift
Conjugacy Relations in Subgroups of the Mapping Class Group and a Group-Theoretic Description of the Rochlin Invariant.
Dennis Johnson (1980)
Mathematische Annalen
Co-rank and Betti number of a group
Irina Gelbukh (2015)
Czechoslovak Mathematical Journal
For a finitely generated group, we study the relations between its rank, the maximal rank of its free quotient, called co-rank (inner rank, cut number), and the maximal rank of its free abelian quotient, called the Betti number. We show that any combination of the group's rank, co-rank, and Betti number within obvious constraints is realized for some finitely presented group (for Betti number equal to rank, the group can be chosen torsion-free). In addition, we show that the Betti number is additive...
Currently displaying 1 – 20 of 111
Page 1 Next