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FAITHFUL REAL REPRESENTATIONS OF CYCLICALLY PINCHED ONE-RELATOR GROUPS
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نویسنده
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فاین بنجامین ,کروزر مارتین ,روسنبرگر گرهارد
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منبع
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international journal of group theory - 2014 - دوره : 3 - شماره : 1 - صفحه:1 -8
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چکیده
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In [4, 5] using faithful complex representations of cyclically pinched and conjugacy pinchedone-relator groups we proved that any limit group has a faithful representation in psl(2;c). furtherthis representation can be e ectively constructed using the jsj decomposition. in this note we showthat any hyperbolic cyclically pinched one-relator group with maximal amalgamated subgroups in eachfactor has a 2-dimensional faithful real representation.
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کلیدواژه
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hyperbolic group ,limit group ,faithful representation.
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آدرس
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Fairfield University, Department of Mathematics, Fairfield University, North Benson Road Fairfield, Connecticut 06430, United States, United States, University of Passau, Fakultaet fuer Informatik und Mathematik, University of Passau, Innstr 33, 94032 Passau, Germany, Germany, University of Passau, Fakultaet fuer Informatik und Mathematik, University of Passau, Instr 33, 94032 Passau, Germany, Germany
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پست الکترونیکی
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rosenber@fim.uni-passau.de
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Authors
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