This article is cited in 2 papers

Problem of Intermediate Relative Growth of Subgroups in Solvable and Linear Groups

D. V. Osin

M. V. Lomonosov Moscow State University

Abstract: The following problem formulated in [16] is considered: Is it true that the relative growth of any subgroup of a solvable or linear group is either polynomial or exponential? In the general case, a negative answer is obtained for both classes of groups. Certain positive results are also presented.

UDC: 512.54

Received in December 1999

 English version: Proceedings of the Steklov Institute of Mathematics, 2000, 231, 316–338

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