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http://dx.doi.org/10.4134/BKMS.2013.50.2.543

ON RIGHT-ANGLED ARTIN GROUPS WHOSE UNDERLYING GRAPHS HAVE TWO VERTICES WITH THE SAME LINK  

Kim, Jongtae (Department of Mathematics KonKuk University)
Moon, Myoungho (Department of Mathematics KonKuk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 543-558 More about this Journal
Abstract
Let ${\Gamma}$ be a graph which contains two vertices $a$, $b$ 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(${\Gamma}$) contains a hyperbolic surface subgroup, then A(${\Gamma}$-{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;
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