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