The term "higher dimensional group theory" was introduced by Brown (1982), and refers to a method for obtaining new homotopical information by generalizing to higher dimensions the fundamental group of a space with a base point.
Higher Dimensional Group Theory
See also
Group Theory, Low-Dimensional TopologyExplore with Wolfram|Alpha
References
Brown, R. "Higher Dimensional Group Theory." In Low-Dimensional Topology: Proceedings of a Conference on Topology in Low Dimension, Bangor, 1979 (Ed. R. Brown and T. L. Thickstun). Cambridge, England: Cambridge University Press, pp. 215-238, 1982.Brown, R. "Higher Dimensional Group Theory." http://www.bangor.ac.uk/~mas010/hdaweb2.htm.Referenced on Wolfram|Alpha
Higher Dimensional Group TheoryCite this as:
Weisstein, Eric W. "Higher Dimensional Group Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HigherDimensionalGroupTheory.html