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RECOGNIZING SOLUBLE GROUPS FROM THEIR PROBABILISTIC ZETA FUNCTIONS

Published online by Cambridge University Press:  13 August 2003

ELOISA DETOMI  and
ANDREA LUCCHINI
ELOISA DETOMI
Affiliation:
Dip. Matematica Pura, Università di Padova, via Belzoni 7, 35131 Padova, Italydetomi@math.unipd.it
ANDREA LUCCHINI
Affiliation:
Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, Italylucchini@bsing.ing.unibs.it
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Abstract

It is proved that if $P_G(s)$ has an Euler product expansion with all factors of the form $1-c_i/q_i^s$ where each $q_i$ is a prime power, then $G$ is soluble.

Keywords

20P0520F0511M41
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 659 - 664
Copyright
© The London Mathematical Society 2003

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