✦ LIBER ✦

Rationality of P-Group Actions

✍ Scribed by Huah Chu; Ming-chang Kang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 133 KB
Volume: 237
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8615

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✦ Synopsis

Let p be a prime number, G a p-group of order ≤ p 4 K a field with char K = p. If the exponent of G is p e and K contains a primitive p e th root of unity, then K V G is rational (=purely transcendental) over K where ρ G → GL V is any linear representation of G over K.

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