Author/Authors :
دي جيواني ، فرانچسكو نويسنده Dipartimento di Matematica e Applicazioni, Universita di Napoli Federico II, via Cintia Napoli, Italy de Giovanni, Francesco , نيويل، مارتين ل. نويسنده School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, Ireland Newell, Martin L. , روسو، آلسيو نويسنده Dipartimento di Matematica e Fisica, Seconda Universita di Napoli, viale Lincoln 5 Caserta, Italy Russo, Alessio
Abstract :
Motivated by a celebrated theorem of Schur, we show that if ?? is a normal subgroup of the
full automorphism group Aut(G) of a group G such that Inn(G) is contained in ?? and Aut(G)=?? has
no uncountable abelian subgroups of prime exponent, then [G; ??] is finite, provided that the subgroup
consisting of all elements of G fixed by ?? has finite index. Some applications of this result are also
given.
