On locally finite groups and the centralizers of automorphisms
Shumyatsky, Pavel
Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001), p. 731-736 / Harvested from Biblioteca Digitale Italiana di Matematica
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Sia p un primo, e A un gruppo abeliano elementare di ordine p2 che agisce sul p′-gruppo localmente finito G. Supponiamo che esista un intero positivo m tale che CG⁢a,CG⁢b,…,CG⁢b︸m=1 per ogni a,b∈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.

Publié le : 2001-10-01
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     author = {Pavel Shumyatsky},
     title = {On locally finite groups and the centralizers of automorphisms},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {4-A},
     year = {2001},
     pages = {731-736},
     zbl = {1130.20308},
     mrnumber = {1859432},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_731_0}
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Shumyatsky, Pavel. On locally finite groups and the centralizers of automorphisms. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 731-736. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_731_0/

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