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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

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

6 Issues per year


IMPACT FACTOR 2017: 0.581

CiteScore 2017: 0.53

SCImago Journal Rank (SJR) 2017: 0.778
Source Normalized Impact per Paper (SNIP) 2017: 0.893

Mathematical Citation Quotient (MCQ) 2017: 0.45

Online
ISSN
1435-4446
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Volume 8, Issue 6

Issues

Connectivity of the coset poset and the subgroup poset of a group

Daniel A. Ramras
Published Online: 2005-11-18 | DOI: https://doi.org/10.1515/jgth.2005.8.6.719

Abstract

We study the connectivity of the coset poset and the subgroup poset of a group, focusing in particular on simple connectivity. The coset poset was recently introduced by K. S. Brown in connection with the probabilistic zeta function of a group. We take Brown’s study of the homotopy type of the coset poset further, and in particular generalize his results on direct products and classify direct products with simply connected coset posets.

The homotopy type of the subgroup poset L(G ) has been examined previously by Kratzer, Thévenaz, and Shareshian. We generalize some results of Kratzer and Thévenaz, and determine π 1(L(G )) in nearly all cases.

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 719–746, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth.2005.8.6.719.

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