Using the interplay between the geometric and the permutation representation, we obtain explicit descriptions of the inversions, inversion tables and minimal left coset representatives for elements of ΓΏnite and a ne Weyl groups of classical type.
Generating coset representatives for permutation groups
β Scribed by Lloyd Allison
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 840 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a permutation group of finite degree d. We prove that the product of the orders of the composition factors of G that are not alternating groups acting naturally, in a sense that will be made precise, is bounded by c d-1 /d, where c = 4 5. We use this to prove that any quotient G/N of G has
New techniques, both theoretical and practical, are presented for constructing permutation representations for computing with matrix groups defined over finite fields. The permutation representation is constructed on a conjugacy class of subgroups of prime order. We construct a base for the permutat
We prove that the number of conjugacy classes of primitive permutation groups cΕ½ n. ## Ε½ . of degree n is at most n , where n denotes the maximal exponent occurring in the prime factorization of n. This result is applied to investigating maximal subgroup growth of infinite groups. We then proceed