m]) denote the minimal length left coset
representatives of [G.
J] denote the set of minimal length left coset
representatives, and [sup.
First, the elements of the group table are now in a different order--they are grouped by left coset
of the selected subgroup.
Notice that each left coset
in G/K contains a unique element of S, so we have
In this paper we take right coset representatives, although left coset
representatives could be taken also.
The set of all the left cosets
of Hi/B defines a partition of G/B.
So we only have to check that [Mathematical Expression Omitted] is constant on the left cosets
For G/H the set of left cosets
of H in G, also denoted G = [[Universal].