• the mathematical subject of group theory, the Grushko theorem or the Grushko–Neumann theorem is a theorem stating that the rank (that is, the smallest...
    22 KB (3,669 words) - 10:34, 21 November 2024
  • Frucht's theorem (graph theory) Great orthogonality theorem (group theory) Gromov's theorem on groups of polynomial growth (geometric group theory) Grushko theorem...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Kazakhstani volleyball player Grushko is a 1994's BBC three part drama series starring Brian Cox and Stephen McGann Grushko theorem in mathematics This page...
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  • Thumbnail for Free group
    covering spaces above. It allows more powerful results, for example on Grushko's theorem, and a normal form for the fundamental groupoid of a graph of groups...
    18 KB (2,310 words) - 17:25, 30 April 2025
  • announced independently by Joel Friedman. According to the classic Grushko theorem, rank behaves additively with respect to taking free products, that...
    12 KB (1,659 words) - 01:29, 4 April 2025
  • uses Grushko theorem about the rank of a free product. In this setting, as noted in the original Muller and Schupp paper, the Muller–Schupp theorem says...
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  • of groupoids in group theory, for example to a generalisation of Grushko's theorem, and in topology, e.g. fundamental groupoid. Mackenzie, K. C. H.,...
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  • Gromov's systolic inequality for essential manifolds (category Theorems in Riemannian geometry)
    fundamental groups is available, whose proof relies on the Grushko decomposition theorem. see Gromov (1983) Filling area conjecture Gromov's inequality...
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  • of groupoids in group theory, for example to a generalisation of Grushko's theorem, and in topology, e.g. fundamental groupoid. Weinstein, Alan, "Groupoids:...
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  • groups are Whitehead automorphisms. Together with the automorphisms of the Grushko factors, they form a generating set of the automorphism group of any finitely...
    19 KB (2,538 words) - 15:01, 24 November 2024