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A diophantine equation which arises in the theory of finite groups

โœ Scribed by Peter Crescenzo

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
227 KB
Volume
17
Category
Article
ISSN
0001-8708

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โœฆ Synopsis

Remark 3. Although we have proved that (with one exception) m=n=2 in (I), so that the equation becomes pa -2q2 = fl, 25

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We consider in this paper the following functional equation which occurs in the theory of queues : + (1a)(l -F ( 4 ) 1 dG(t).

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Let R be a commutative ring, V a finitely generated free R-module and G GL R (V) a finite group acting naturally on the graded symmetric algebra A=Sym(V). Let ;(A G ) denote the minimal number m, such that the ring A G of invariants can be generated by finitely many elements of degree at most m. Fur