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ON RIGHT-ANGLED ARTIN GROUPS WHOSE UNDERLYING GRAPHS HAVE TWO VERTICES WITH THE SAME LINK
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 Title & Authors
ON RIGHT-ANGLED ARTIN GROUPS WHOSE UNDERLYING GRAPHS HAVE TWO VERTICES WITH THE SAME LINK
Kim, Jongtae; Moon, Myoungho;
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 Abstract
Let be a graph which contains two vertices , with the same link. For the case where the link has less than 3 vertices, we prove that if the right-angled Artin group A() contains a hyperbolic surface subgroup, then A(-{a}) contains a hyperbolic surface subgroup. Moreover, we also show that the same result holds with certain restrictions for the case where the link has more than or equal to 3 vertices.
 Keywords
right-angled Artin group;hyperbolic surface subgroup;
 Language
English
 Cited by
 References
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