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Number of generators of crystallographic groups

โœ Scribed by G. A. Noskov


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
577 KB
Volume
30
Category
Article
ISSN
0037-4466

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๐Ÿ“œ SIMILAR VOLUMES


Number of generators of a group
โœ G. A. Noskov ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 539 KB
On the Number of Generators and Composit
โœ A Lucchini; F Menegazzo; M Morigi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

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

The Group of Generalized Stirling Number
โœ Thomas Bickel ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

In this paper we provide an algebraic approach to the generalized Stirling numbers (GSN). By defining a group that contains the GSN, we obtain a unified interpretation for important combinatorial functions like the binomials, Stirling numbers, Gaussian polynomials. In particular we show that many GS