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math.AG2004
Division algebras that ramify only on a plane quartic curve
Boris E. Kunyavskii, Louis H. Rowen, Sergey V. Tikhonov +1
Let k be an algebraically closed field of characteristic 0. We prove that any division algebra over k(x,y) whose ramification locus lies on a quartic curve is cyclic.
math.GR2004
Coxeter covers of the symmetric groups
Louis H. Rowen, Mina Teicher, Uzi Vishne
We study Coxeter groups from which there is a natural map onto a symmetric group. Such groups have natural quotient groups related to presentations of the symmetric group on an arb…