Profinite groups with a rational probabilistic zeta function

Journal of Group Theory

Volumn 9, Issue 2, 2006, Pages 203-217

  Detomi, Eloisa ^b   Lucchini, Andrea ^a  

^a UNIVERSITY OF BRESCIA   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646909495     PISSN: 14335883     EISSN: 14335883     Source Type: Journal    
DOI: 10.1515/JGT.2006.014     Document Type: Article

References (12)

1. N. Boston. A probabilistic generalization of the Riemann zeta function. Analytic Number Theory 1 (1996), 155-162.
2. E. Detomi and A. Lucchini. Crowns and factorization of the probabilistic zeta function of a finite group. J. Algebra 265 (2003), 651-668.
3. E. Detomi and A. Lucchini. Crowns in profinite groups and applications. Preprint.
4. E. Detomi and A. Lucchini. Profinite groups with multiplicative probabilistic zeta function. J. London Math. Soc. (2) 70 (2004), 165-181.
5. K. Doerk and T. O. Hawkes. Finite soluble groups (de Gruyter, 1992).
6. W. Gaschütz. Die Eulersche Funktion endlicher auflösbarer Gruppen. Illinois J. Math. 3 (1959), 469-476.
7. P. Hall. The Eulerian functions of a group. Quart. J. Math. (Oxford Ser.) 7 (1936), 134-151.
8. A. Lubotzky and D. Segal. Subgroup growth (Birkhäuser Verlag, 2003).
9. A. Mann. A probabilistic zeta function for arithmetic groups. Internat. J. Algebra Comput, to appear.
10. A. Mann. Positively finitely generated groups. Forum Math. 8 (1996), 429-459.
11. A. J. van der Poorten. Some facts that should be better known, especially about rational functions. In Number theory and applications (Banff, AB, 1988) (Kluwer, 1989), pp. 497-528.
12. P. Stanley. Enumerative combinatorics, vol. 1 (Cambridge University Press, 1997).