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Semistability of Amalgamated Products and Hnn-Extensions (Memoirs of the American Mathematical Society) download epub

by Steven T. Tschantz,Michael L. Mihalik


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Michael L. Mihalik; Steven T. Tschantz. Semistability of Amalgamated Products and HNN-Extensions.

Michael L. In the study of the proper homotopy theory of finitely presented groups, semistability at infinity is an end invariant of central importance. A finitely presented group that is semistable at infinity has a well-defined fundamental group at infinity independent of base ray. If (G) is semistable at infinity, then (G) has free abelian second cohomology with ({mathbb Z}G) coefficients. Base Product Code Keyword List: memo; MEMO; memo/98; MEMO/98; memo-98; MEMO-98; memo/98/471; MEMO/98/471; memo-98-471; MEMO-98-471.

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Michael L. urn:arXiv:math/9201264.

In this work, the authors show that amalgamated products and HNN-extensions. Publisher: American Mathematical Society. Weight: . 1 lbs. Dimensions: 1. " x . " x 1. ".

book by Michael L. Mihalik. You Might Also Enjoy. Harry Potter and the Chamber of Secrets.

Authors:Michael L. Mihalik, Steven T. Tschantz

Authors:Michael L. Submitted on 1 Jan 1992). Abstract: The authors announce the following theorem.

Semistability of amalgamated products, HNN-extensions, and all one-relator groups. The mathematical proof that quantum mechanics gives rise to the observed stability is not easy because of the strong electric forces among the elementary constituents (electrons and nuclei) of matter. The authors announce the following theorem. The big breakthrough came in the mid sixties when Dyson and Lenard (DL) showed, by a complicated proof, that stability.

Publisher: American Mathematical Society.

In the study of the proper homotopy theory of finitely presented groups, semistability at infinity is an end invariant of central importance. A finitely presented group that is semistable at infinity has a well-defined fundamental group at infinity independent of base ray. If $G$ is semistable at infinity, then $G$ has free abelian second cohomology with ${mathbb Z}G$ coefficients. In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. In an early application, this result was used in showing that all one-relator groups are semistable at infinity. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.
Semistability of Amalgamated Products and Hnn-Extensions (Memoirs of the American Mathematical Society) download epub
Science & Mathematics
Author: Steven T. Tschantz,Michael L. Mihalik
ISBN: 0821825313
Category: Other
Subcategory: Science & Mathematics
Language: English
Publisher: Amer Mathematical Society (August 1, 1992)
Pages: 86 pages