Rationality of P-Group Actions
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Huah Chu; Ming-chang Kang
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Article
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2001
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Elsevier Science
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English
⚖ 133 KB
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.