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COUNTING SUBGROUPS IN A FAMILY OF NILPOTENT SEMI-DIRECT PRODUCTS

Published online by Cambridge University Press:  20 September 2006

CHRISTOPHER VOLL
CHRISTOPHER VOLL
Affiliation:
School of Mathematics, University of Southampton, Highfield, Southampton SO17 1BJ, United KingdomC.Voll.98@cantab.net
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Abstract

In this paper we compute the subgroup zeta functions of nilpotent groups of the form \[G_n := \langle x_1,\dots,x_{n},y_1,\dots,y_{n-1}|\;[x_i,x_n]=y_i,\;1\leq i \leq n-1\], all other [,] trivial 〉 and deduce local functional equations.

Keywords

11M4120E07
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 5 , October 2006 , pp. 743 - 752
Copyright
© The London Mathematical Society 2006

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