Browsing by Author "Alexander Olshanskii"

Now showing items 1-2 of 2

    • Subgroup Distortion in Metabelian and Free Nilpotent Groups 
      Davis, Tara Colleen (2011-04-02)
      Department: Mathematics
      The main result of this dissertation sheds light on subgroup distortion in metabelian and free nilpotent groups. A subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a ...
    • The word and conjugacy problems in lacunary hyperbolic groups 
      Darbinyan, Arman (2018-07-16)
      Department: Mathematics
      We study the word and conjugacy problems in lacunary hyperbolic groups (briefly, LHG). In particular, we describe a necessary and sufficient condition for decidability of the word problem in LHG. Then, based on the graded ...