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Un'osservazione sulle classi di Fitting normali

Guido Zappa (1981)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We prove that a Fitting class of finite soluble groups is normal if and only if it verifies the condition α ) (see n. 2). Unlike the definition of normal Fitting class, this condition is “constructive”.

Unstable homotopy invariance for finite fields

Kevin P. Knudson (2002)

Fundamenta Mathematicae

We prove that if k is a finite field with p d elements, then the natural map H i ( G L ( k ) , ) H i ( G L ( k [ t ] ) , ) is an isomorphism for 0 ≤ i < d(p-1) and for all n.

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