Test Elements, Generic Elements and Almost Primitivity in Free Products-Reference-Cited by-同舟云学术

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Test Elements, Generic Elements and Almost Primitivity in Free Products

Published:2016-03-16 Issue:02 Volume:23 Page:263-280
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Engel Ann-Kristin¹,Fine Benjamin²,Rosenberger Gerhard³⁴

Affiliation:

1. Faculty of Mathematics, TU-Braunschweig, 38106 Braunschweig, Germany

2. Department of Mathematics, Fairfield University, Fairfield, Connecticut 06430, USA

3. Fachbereich Mathematik, University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany

4. FIM, University of Passau, Innstrasse 33, 94032 Passau, Germany

Abstract

In [5, 6] the relationships between test words, generic elements, almost primitivity and tame almost primitivity were examined in free groups. In this paper we extend the concepts and connections to general free products and in particular to free products of cyclic groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386716000298

Reference13 articles.

1. On Almost Primitive Elements of Free Groups With an Application to Fuchsian Groups

2. Generic elements of free groups

3. Test words, generic elements and almost primitivity

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