11. The corresponding double coset structure carries information about how the resulting representation decomposes. 12. Physical states are in representations of the coset . 13. For small groups it is sometimes possible to perform a coset enumeration by hand. 14. When " H " is maximal, the coset representation is primitive. 15. Modulo a prime, there is only the subgroup of squares and a single coset . 16. (where is a full set of-double coset representatives, as before ). 17. This correspondence identifies with the double coset . 18. So, since g belongs to the coset Nh, Nh = Ng as well. 19. Coset enumeration is usually considered to be one of the fundamental problems in computational group theory.20. A gentle introduction to coset enumeration is given in Rotman's text on group theory.
