Download E-books Gruppi: Una introduzione a idee e metodi della Teoria dei Gruppi (UNITEXT / La Matematica per il 3+2) (Italian Edition) PDF

Nato dai corsi universitari di Teoria dei Gruppi tenuti in step with vari anni dall'autore, questo libro affronta gli argomenti fondamentali della teoria: gruppi abeliani, nilpotenti e risolubili, gruppi liberi, permutazioni, rappresentazioni e coomologia. Dopo le leading nozioni, viene esposto il programma di Hölder in line with los angeles classificazione dei gruppi finiti. Un lungo capitolo è dedicato all'azione di un gruppo su un insieme e alle permutazioni, sia sotto l'aspetto algebrico che combinatorio, con richiami alla teoria delle equazioni. Si considerano anche alcune questioni di carattere logico, come los angeles decidibilità del problema della parola according to certe classi di gruppi. Un aspetto essenziale del libro è l. a. presenza di una grande varietà di esercizi, circa four hundred, in gran parte risolti.

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