A discontinuous group is a mathematical concept relating to mappings in
topological space.
Definition
Let be a topological space of points , and let , , be an open continuous representation of the
topological group as a
transitive group of
homeomorphic mappings of on itself. The representation of the discrete subgroup in is called discontinuous, if no sequence () converges to a point in , as runs over distinct elements of .[1]
References
^Carl Ludwig Siegel (1943), Annals of Mathematics (ed.), Discontinuous groups, vol. 44, pp. 674−689