Growth and cogrowth of normal subgroups of a free group

2015/12/14 by Jaerisch, Johannes, Matsuzaki, Katsuhiko · 1 citation
#05C50 #30F40 #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 20F69 #Secondary 20E08

paper · doi:10.48550/arxiv.1512.04237

Abstract

We give a sufficient condition for a sequence of normal subgroups of a free group to have the property that both, their growths tend to the upper bound and their cogrowths tend to the lower bound. The condition is represented by planarity of the quotient graphs of the tree.

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