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Currently displaying 1 – 3 of 3

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Fitting height of $A$ -nilpotent groups

Pavel Shumyatsky — 2000

Rendiconti del Seminario Matematico della Università di Padova

On locally finite groups and the centralizers of automorphisms

Pavel Shumyatsky — 2001

Bollettino dell'Unione Matematica Italiana

Sia $p$ un primo, e $A$ un gruppo abeliano elementare di ordine $p^{2}$ che agisce sul $p^{'}$ -gruppo localmente finito $G$ . Supponiamo che esista un intero positivo $m$ tale che $[C_{G} (a), \underset{m}{\underset{︸}{C_{G} (b), \dots, C_{G} (b)}}] = 1$ per ogni $a, b \in A^{♯}$ . In questo articolo si dimostra che $G$ è nilpotente, con classe di nilpotenza limitata da una funzione che dipende solo da $p$ e $m$ .

On groups of odd order admitting an elementary 2-group of automorphisms

Karise G. Oliveira; Pavel Shumyatsky; Carmela Sica — 2011

Rendiconti del Seminario Matematico della Università di Padova

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