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A nilpotent quotient algorithm for graded Lie rings

โœ Scribed by George Havas; M.F. Newman; M.R. Vaughan-Lee

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
815 KB
Volume
9
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

A nilpotent quotient algorithm for graded Lie rings of prime characteristic is described. The algorithm has been implemented and applications have been made to the investigation of the associated Lie rings of Burnside groups. New results about Lie rings and Burnside groups are presented. These include detailed information on groups of exponent 5 and 7 and their associated Lie rings.

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A Paley-Wiener Theorem for Selected Nilp
A Paley-Wiener Theorem for Selected Nilpotent Lie Groups
โœ J.D. Moss ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 593 KB

This paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak form of the classical Paley-Wiener theorem for \(\mathbb{R}^{n}\). The generalization is accomplished for a large subclass of nilpotent Lie groups, as well as for an interesting example not in this subclass. T