Stable rationality of certain PGLn-quotients
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- Bessenrodt, C. & Le Bruyn, L. Invent. math. (1991) 104: 179. doi:10.1007/BF01245071
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Stable rationality of the field of matrix invariants ℂMn×Mn)PGLn is proved forn=5 andn=7. In combination with existing results this shows that ℂ (V)PGLn is stably rational wheneverV is an almost free representation ofPGLn andn divides 420=22·3·5·7.