nLab Jakob Nielsen

Jakob Nielsen was a Danish mathematician and one of the pioneers of the combinatorial group theory.

• Wikipedia entry,

• MathGenealogy page

• MacTutorBiography page

Selected writings

Introducing what came to be known as the Nielsen invariant:

• Jakob Nielsen: Über die Minimalzahl der Fixpunkte bei den Abbildungstypen der Ringflächen, die Minimalzahl der Fixpunkte bei den Abbildungstypen der Ringflächen, Math. Ann. 82 1-2 (1920) 83-93 [doi:10.1007/BF01457977]

On mapping class groups of surfaces with the first published proofs of what came to be known the Dehn-Nielsen-Baer theorem:

• Jakob Nielsen: Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen. I-III, Acta Math. 50 1 (1927) 189-358 [MR1555256, doi:10.1007/BF02547775], Acta Math. 53 1 (1929) 1-76 [MR1555290, doi:10.1007/BF02547566], Acta Math. 58 1 (1932) 87-167 [MR1555345, doi:10.1007/BF02547775]

Related entries

• Nielsen-Schreier theorem

• Fenchel-Nielson coordinates on Teichmüller space

• Nielsen’s method of small cancellations

• Wikipedia: Nielsen–Thurston classification,

• Wikipedia: Nielsen theory

category: people