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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

IMPACT FACTOR 2018: 0.867

CiteScore 2018: 0.71

SCImago Journal Rank (SJR) 2018: 0.898
Source Normalized Impact per Paper (SNIP) 2018: 0.964

Mathematical Citation Quotient (MCQ) 2018: 0.71

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Volume 27, Issue 5


The Σ1-invariant for Artin groups of circuit rank 1

Kisnney Almeida
  • Department of Exact Sciences, State University of Feira de Santana (UEFS), 44031-460 Feira de Santana, BA, Brazil
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Dessislava Kochloukova
Published Online: 2013-12-11 | DOI: https://doi.org/10.1515/forum-2012-0159


We define an Artin group of circuit rank 1 as an Artin group based on a connected graph with fundamental group a free group of rank 1. For an Artin group G of circuit rank 1 the Bieri–Neumann–Renz–Strebel invariant Σ1(G,) is calculated.

Keywords: Σ-invariant; Artin group

MSC: 20E06; 20F36

About the article

Received: 2012-10-23

Revised: 2013-09-14

Published Online: 2013-12-11

Published in Print: 2015-09-01

Funding Source: Capes

Award identifier / Grant number: PhD scholarship

Funding Source: CNPq, Brazil

Award identifier / Grant number: PhD scholarship

Funding Source: CNPq, Brazil

Award identifier / Grant number: “bolsa de produtividade em pesquisa”

Citation Information: Forum Mathematicum, Volume 27, Issue 5, Pages 2901–2925, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2012-0159.

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