a note on fixed points of automorphisms of infinite groups
نویسندگان
چکیده
motivated by a celebrated theorem of schur, we show that if~$gamma$ is a normal subgroup of the full automorphism group $aut(g)$ of a group $g$ such that $inn(g)$ is contained in $gamma$ and $aut(g)/gamma$ has no uncountable abelian subgroups of prime exponent, then $[g,gamma]$ is finite, provided that the subgroup consisting of all elements of $g$ fixed by $gamma$ has finite index. some applications of this result are also given.
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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 3
شماره 4 2014
کلمات کلیدی
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