21. The relation table has rows representing the cosets of H, as in the coset table. 22. As noted earlier, in this case the double coset space equals the right coset space. 23. As noted earlier, in this case the double coset space equals the right coset space. 24. A "'coset representative "'is a representative in the equivalence class sense. 25. If N is normal then gN = Ng implis that every left coset is a right coset. 26. If N is normal then gN = Ng implis that every left coset is a right coset . 27. It follows that each coset of the group of Appell sequences contains exactly one sequence of binomial type. 28. The coset table is used to store the relationships between the known cosets when multiplying by a generator. 29. We then subtract the vector's coset leader, namely 1000, to get the result 1110. 30. Conversely, if every left cost is a right coset , then gN = Nh for some h.
