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Counting Subgroups in a Family of Nilpotent Semi‐Direct Products
Author(s) -
Voll Christopher
Publication year - 2006
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/s0024609306018881
Subject(s) - mathematics , nilpotent , mathematics subject classification , nilpotent group , pure mathematics , functional equation , combinatorics , algebra over a field , mathematical analysis , partial differential equation
In this paper we compute the subgroup zeta functions of nilpotent groups of the formG n : = 〈 x 1 , … , x n , y 1 , … , y n − 1 ∣ [ x i , x n ] = y i , 1 ⩽ i ⩽ n − 1, all other [,] trivial 〉 and deduce local functional equations. 2000 Mathematics Subject Classification 11M41, 20E07.