On the number of roots of the equation xn = 1 in finite groups and related properties
β Scribed by A.J van Zanten; E de Vries
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 524 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In 1991 Dixon and Kovacs 8 showed that for each field K which has finite degree over its prime subfield there is a number d such that every K finite nilpotent irreducible linear group of degree n G 2 over K can be w x wx ' generated by d nr log n elements. Afterwards Bryant et al. 3 proved K ' d G F
Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of