Dyck fundamental group on arcwise-connected polygon cycles

DOI10.1007/s13370-023-01067-3zbMath1524.51003OpenAlexW4362666377MaRDI QIDQ6097374

James F. Peters, Orgest Zaka

Publication date: 5 June 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01067-3

zbMATH Keywords

fundamental grouppathgeometric realizationDesargues affine planearcwise-connectedDyck free grouppolygon cycle

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Fundamental group, presentations, free differential calculus (57M05) Desarguesian and Pappian geometries (51A30)

Cites Work

• Isomorphic-Dilations of the skew-fields constructed over parallel lines in the Desargues affine plane
• The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
• Skew-field of trace-preserving endomorphisms, of translation group in affine plane
• Ordered Line and Skew-Fields in the Desargues Affine Plane
• Combinatorial homotopy. I
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Algebraic topology -- homology and homotopy.
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