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Linear Bounds for the Degree of Subgroup Growth in Terms of the Hirsch Length
Author(s) -
Klopsch Benjamin
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007256
Subject(s) - mathematics , degree (music) , minimax , combinatorics , upper and lower bounds , mathematical economics , mathematical analysis , physics , acoustics
Let G be a residually‐finite virtually soluble minimax group. We give upper and lower linear bounds for the degree of subgroup growth of G in terms of the Hirsch length of G . 2000 Mathematics Subject Classification 20F99.