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UNA generalizzazione del problema di burnside relativo all'esponente 4
Authors:Enrico Jabara
Affiliation:1. Dorsoduro 3647, 30123, Venezia, (Italy)
Abstract:An automorphism σ of order (a divisor of)n of the groupG is calledn-splitting if 
$$gg^sigma   cdots gg^{sigma ^{n - 1} }  = 1$$
for everyg∈G. In this paper we prove that a 2-group admitting a 4-splitting automorphism, is locally finite.
Keywords:
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