Summary: DOI: 10.1007/s00209-002-0434-6
Math. Z. 241, 597611 (2002)
Growth tightness for word hyperbolic groups
G. N. Arzhantseva1, I. G. Lysenok2
Section de Math´ematiques, Universit´e de Gen`eve, CP 240, 1211 Gen`eve 24, Switzerland
Steklov Institute of Mathematics, Gubkina str. 8, 117966 Moscow, Russia
Received: 20 September 2001; in final form: 24 January 2002/
Published online: 5 September 2002 c Springer-Verlag 2002
tight. This means that, given such a group G and a finite set A of its
generators, for any infinite normal subgroup N of G, the exponential
growth rate of G/N with respect to the natural image of A is strictly less
than the exponential growth rate of G with respect to A.
Let G be a finitely generated group and A a finite set of generators for G.