Cohopficity of seifert-bundle groups

Document Type

Article

Publication Date

1-1-1994

Abstract

A 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.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

143

Last Page

155

This document is currently not available here.

Share

COinS