We prove that the number of conjugacy classes of primitive permutation groups cลฝ n. ## ลฝ . 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
Testing Matrix Groups for Primitivity
โ Scribed by Derek F. Holt; C.R. Leedham-Green; E.A. O'Brien; Sarah Rees
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 206 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We describe an algorithm which seeks to decide whether or not a matrix group defined over a finite field acts to preserve blocks of imprimitivity and, if so, to find a block system. Implementations of the algorithm are publicly available.
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