%0 Journal Article
%T On the Gap Conjecture concerning group growth
%A Rostislav Grigorchuk
%J Bulletin of Mathematical Sciences
%@ 1664-3615
%D 2013
%I Springer
%R 10.1007/s13373-012-0029-4
%X We discuss some new results concerning Gap Conjecture on group growth and present a reduction of it (and its $*$ -version) to several special classes of groups. Namely we show that its validity for the classes of simple groups and residually finite groups will imply the Gap Conjecture in full generality. A similar type reduction holds if the Conjecture is valid for residually polycyclic groups and just-infinite groups. The cases of residually solvable groups and right orderable groups are considered as well.
%U http://link.springer.com/article/10.1007/s13373-012-0029-4