For a finite group G, let k G denote the number of conjugacy classes of G. We prove that a simple group of Lie type of untwisted rank l over the field of q ลฝ . l elements has at most 6 q conjugacy classes. Using this estimate we show that for ลฝ . ลฝ . 10 n completely reducible subgroups G of GL n, q
The major index polynomial for conjugacy classes of permutations
โ Scribed by Michelle L. Wachs
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 628 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Garsia (1988)
gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.
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