Co-rank and Betti number of a group

DOI10.1007/s10587-015-0195-0zbMath1363.20034arXiv1502.02197OpenAlexW2153203615MaRDI QIDQ2948009

Irina Gelbukh

Publication date: 29 September 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02197

zbMATH Keywords

fundamental groupco-rankinner rank

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (3)

Reeb graphs of circle-valued functions: a survey and basic facts ⋮ Reeb spaces of smooth functions on manifolds II ⋮ Compact and locally dense leaves of a closed one-form foliation

Cites Work

• Quasi-Kähler groups, 3-manifold groups, and formality
• Sur l'unique ergodicité des 1-formes fermées singulières. (Unique ergodicity of closed singular 1-forms)
• Close cohomologous Morse forms with compact leaves
• EQUATIONS IN A FREE GROUP
• On the structure of a Morse form foliation
• ON SYSTEMS OF EQUATIONS IN A FREE GROUP
• Cut numbers of 3-manifolds
• Number of minimal components and homologically independent compact leaves for a morse form foliation
• The number of split points of a Morse form and the structure of its foliation
• Geometric realizations for free quotients
• The co-rank conjecture for 3-manifold groups

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