Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-30T20:01:00.918Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
ANDREA LUCCHINI
Affiliation:
Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)