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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
5-year IMPACT FACTOR: 0.520

CiteScore 2018: 0.53

SCImago Journal Rank (SJR) 2018: 0.566
Source Normalized Impact per Paper (SNIP) 2018: 1.047

Mathematical Citation Quotient (MCQ) 2018: 0.48

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ISSN
1435-4446
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Volume 8, Issue 6

Issues

Groups, periodic planes and hyperbolic buildings

Alina Vdovina
Published Online: 2005-11-18 | DOI: https://doi.org/10.1515/jgth.2005.8.6.755

Abstract

Using methods of combinatorial group theory, we give an elementary construction of polyhedra whose links are (not necessarily isomorphic) connected bipartite graphs. In particular, we construct polyhedra whose links are generalized m -gons. Polyhedra of this type are interesting because their universal coverings are two-dimensional hyperbolic buildings with different links. We show that the fundamental groups of some of our polyhedra contain surface groups. The presentation of the results is given in the language of combinatorial group theory.

About the article

Published Online: 2005-11-18

Published in Print: 2005-11-18


Citation Information: Journal of Group Theory, Volume 8, Issue 6, Pages 755–765, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth.2005.8.6.755.

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Citing Articles

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[1]
David Futer and Anne Thomas
International Mathematics Research Notices, 2012, Volume 2012, Number 2, Page 437
[2]
Riikka Kangaslampi and Alina Vdovina
Experimental Mathematics, 2017, Volume 26, Number 1, Page 54

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