Add to ORKGA group G is cohopfian, if every monomorphism G → G is an automorphism. In this paper, we answer the cohopficity question for the fundamental groups of compact Seifert fiber spaces (or Seifert bundles, in the current vernacular). If M is a closed Seifert bundle, then the following are equivalent: (a) ΠM is cohopfian; (b) M does not cover itself nontrivially; (c) M admits a geometric structure modeled on S3or on SL2R. If M is a compact Seifert bundle with nonempty boundary, then %iM is not cohopfian. © 1994 American Mathematical Society
A group G is said to be cohopfian if it is neither trivial nor isomorphic to any of its proper subgr...
We define a family of balanced presentations of groups and prove that they correspond to spines of s...
AbstractFrohman (1986) showed that a nonorientable incompressible surface in a Seifert fibered space...
Generalized Seifert fiber spaces have been playing an important role in the study of manifolds since...
AbstractA group G is said to be cohopfian, if every monomorphism from G to itself is an automorphism...
AbstractIn this paper we show that fundamental groups of Seifert fibered spaces over non-orientable ...
Suppose both A and B are cohopfian groups. Then A x B is cohopfian if A is either extremely noncommu...
A 3-manifold M is said to have Property C if the degrees of finite coverings over M are determined b...
A group G is cohopfian (or has the co-Hopf property) if any injective endo-morphism f: G → G is surj...
An interesting question is whether two 3-manifolds can be distinguished by computing and comparing t...
Seifert fibred 3-manifolds were originally defined and classified by Seifert in [2]. Scott (in [1]) ...
In [ECHLPT] and [S] it is shown that if the fundamental group of a Seifert fibred 3-manifold is not ...
The main result is a homotopy characterization of Seifert-fibered 3-orbifolds: if O is a closed, ori...
A question naturally arisen is the problem of the classification of closed 3-dimensional manifolds w...
A group $\Gamma$ is defined to be cofinitely Hopfian if every homomorphism $\Gamma\to\Gamma$ whose i...
A group G is said to be cohopfian if it is neither trivial nor isomorphic to any of its proper subgr...
We define a family of balanced presentations of groups and prove that they correspond to spines of s...
AbstractFrohman (1986) showed that a nonorientable incompressible surface in a Seifert fibered space...
Generalized Seifert fiber spaces have been playing an important role in the study of manifolds since...
AbstractA group G is said to be cohopfian, if every monomorphism from G to itself is an automorphism...
AbstractIn this paper we show that fundamental groups of Seifert fibered spaces over non-orientable ...
Suppose both A and B are cohopfian groups. Then A x B is cohopfian if A is either extremely noncommu...
A 3-manifold M is said to have Property C if the degrees of finite coverings over M are determined b...
A group G is cohopfian (or has the co-Hopf property) if any injective endo-morphism f: G → G is surj...
An interesting question is whether two 3-manifolds can be distinguished by computing and comparing t...
Seifert fibred 3-manifolds were originally defined and classified by Seifert in [2]. Scott (in [1]) ...
In [ECHLPT] and [S] it is shown that if the fundamental group of a Seifert fibred 3-manifold is not ...
The main result is a homotopy characterization of Seifert-fibered 3-orbifolds: if O is a closed, ori...
A question naturally arisen is the problem of the classification of closed 3-dimensional manifolds w...
A group $\Gamma$ is defined to be cofinitely Hopfian if every homomorphism $\Gamma\to\Gamma$ whose i...
A group G is said to be cohopfian if it is neither trivial nor isomorphic to any of its proper subgr...
We define a family of balanced presentations of groups and prove that they correspond to spines of s...
AbstractFrohman (1986) showed that a nonorientable incompressible surface in a Seifert fibered space...