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A NOTE ON FIXED POINTS OF AUTOMORPHISMS OF INFINITE GROUPS
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نویسنده
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دی جیوانی فرانچسکو ,نیویل مارتین ل. ,روسو آلسیو
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 4 - صفحه:57 -61
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چکیده
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Motivated by a celebrated theorem of schur, we show that if ?? is a normal subgroup of thefull automorphism group aut(g) of a group g such that inn(g) is contained in ?? and aut(g)=?? hasno uncountable abelian subgroups of prime exponent, then [g; ??] is finite, provided that the subgroupconsisting of all elements of g fixed by ?? has finite index. some applications of this result are alsogiven.
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کلیدواژه
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automorphism group ,Schur's theorem ,absolute centre
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آدرس
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Universita di Napoli Federico II, Dipartimento di Matematica e Applicazioni, Universita di Napoli Federico II, via Cintia Napoli, Italy, Italy, National University of Ireland Galway, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, Ireland, Ireland, Seconda Universita di Napoli, Dipartimento di Matematica e Fisica, Seconda Universita di Napoli, viale Lincoln 5 Caserta, Italy, Italy
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پست الکترونیکی
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alessio.russo@unina2.it
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Authors
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