Browsing by Author "Withrow, Camron Michael"

Now showing 1 - 2 of 2
  • Thumbnail Image
    Left Orderable Residually Finite p-groups
    Withrow, Camron Michael (Virginia Tech, 2014-01-03)
    Let p and q be distinct primes, and G an elementary amenable group that is a residually finite p-group and a residually finite q-group. We conjecture that such groups G are left orderable. In this paper we show some results which came as attempts to prove this conjecture. In particular we give a condition under which split extensions of residually finite p-groups are again residually finite p-groups. We also give an example which shows that even for elementary amenable groups, it is not sufficient for biorderablity that the group be a residually finite p-group and a residually finite q-group.
  • Thumbnail Image
    The moment graph for Bott-Samelson varieties and applications to quantum cohomology
    Withrow, Camron Michael (Virginia Tech, 2018-06-29)
    We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A.