On the orders of primitive groups
✍ Scribed by Attila Maróti
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 101 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
We investigate the set of those integers n for which directly indecomposable groups of order n exist. For even n such groups are easily constructed. In contrast, we show that the density of the set of odd numbers with this property is zero. For each n we define a graph whose connected components des
A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G, H ) of permutation groups of degree n such that G H S n with G quasiprimitive and H primitive. An explicit classification of such pairs is obtained except in the cases wh