Uniqueness Cases in Odd Type Groups of FiniteMorley RankAlexandre V. BorovikSchool of Mathematics The University of ManchesterPO Box 88 Sackville St. Manchester M60 1QD BurdgesMathematisches Institut

arXiv: [] 22 Jun 2007ONFINITEGROUPSWHOSEDERIVEDSUBGROUPHASBOUNDEDRANKK. PODOSKI and B. SZEGEDYAbstractLet G be a nite group with derived subgroup of rank r. We provethat G : Z2(G) ≤ G′2r. Motivated

arXiv: [] 24 Aug 2007EXISTENCE OF QUOTIENTS BY FINITE GROUPS ANDCOARSE MODULI SPACESDAVID RYDHAbstract. In this paper we prove the existence of several quotientsin a very general setting. We conside