In the mathematical area of geometric group theory, a Van Kampen diagram (sometimes also called a Lyndon–Van Kampen diagram[1][2][3] ) is a planar diagram used to represent the fact that a particular word in the generators of a group given by a group presentation represents the identity element in that group.
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^I.G. Lysenok, and A.G. Myasnikov, A polynomial bound for solutions of quadratic equations in free groups. Tr. Mat. Inst. Steklova 274 (2011), Algoritmicheskie Voprosy Algebry i Logiki, 148-190; translation in Proc. Steklov Inst. Math. 274 (2011), no. 1, 136–173
^B. Fine, A. Gaglione, A. Myasnikov, G. Rosenberger, and D. Spellman, The elementary theory of groups. A guide through the proofs of the Tarski conjectures. De Gruyter Expositions in Mathematics, 60. De Gruyter, Berlin, 2014. ISBN 978-3-11-034199-7
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of geometric group theory, a VanKampendiagram (sometimes also called a Lyndon–VanKampendiagram ) is a planar diagram used to represent the fact that...
Van Kampen theorem in topology and the VanKampendiagram in group theory Jacob van Campen (1596–1657), Dutch artist and architect Johannes vanKampen (1899–1969)...
Egbert Rudolf vanKampen (28 May 1908 – 11 February 1942) was a Dutch mathematician. He made important contributions to topology, especially to the study...
Geometrically, condition T(q) essentially means that if D is a reduced vanKampendiagram over (∗) then every interior vertex of D of degree at least three...
used to show that Area(w) is the smallest number of 2-cells in a vanKampendiagram over (∗) with boundary cycle labelled by w. An isoperimetric function...
Zwolle, other major cities are Almelo, Deventer, Hengelo, Enschede, and Kampen. To the southeast, the province's surface is mostly sandy, interspersed...
Bibcode:2006AmJPh..74..998I. doi:10.1119/1.2346686. S2CID 55801261. McGlynn, Enda; vanKampen, Paul (2008). "A note on linking electric current, magnetic fields, charges...
Anne Frank en de andere onderduikers in de kampen. Amsterdam: Querido. p. 217. ISBN 978-9021423920. Van der Rol, Verhoeven (1995). Anne Frank Beyond...
sphere Homotopy Path (topology) Fundamental group Homotopy group Seifert–vanKampen theorem Pointed space Winding number Simply connected Universal cover...
and further developed by Roger Lyndon and Paul Schupp. It studies vanKampendiagrams, corresponding to finite group presentations, via combinatorial curvature...
spaces (where { ∙ } {\displaystyle \{\bullet \}} is any one-point space). VanKampen's theorem gives certain conditions (which are usually fulfilled for well-behaved...
Edition. McGraw-Hill Professional. p. 516. ISBN 0-07-137069-2. van Noort, A; vanKampen, A (Dec 2005). "Fractures of the scapula surgical neck: outcome...
certain situations (such as descent theorems for fundamental groups à la VanKampen) it is much more elegant, even indispensable for understanding something...
1079–1081. Bibcode:1997AmJPh..65.1079L. doi:10.1119/1.18725. ISSN 0002-9505. vanKampen, N. G. (1981). "Itô versus Stratonovich". Journal of Statistical Physics...
465 VanKampen, N.G. (2007). Stochastic Processes in Physics and Chemistry. NL: North Holland Elsevier. pp. 73–95. ISBN 978-0-444-52965-7. VanKampen, N...
careful analysis with tools from algebraic topology, such as the Seifert–vanKampen theorem or the cellular approximation theorem. The circle (also known...
integers, corresponding to linking number. This can be seen via the Seifert–VanKampen theorem (either adding the point at infinity to get a solid torus, or...
pointed spaces is a key element of the proof of a two-dimensional Seifert-vanKampen Theorem, first proved by Brown and Higgins in 1978, and given an extensive...
Concepts in Polymer Physics. Cornell University Press, Ithaca and London. VanKampen N. G. (1992) Stochastic Processes in Physics and Chemistry, revised and...
building, which fronts track 2. Tracks 3, 6, 9, and 12 have no platform. Diagram (platforms are yellow, tunnels are grey, north is up): Amsterdam Centraal...
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