Geodesic
COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP*
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 75-81

Voir la notice de l'article provenant de la source Cambridge University Press

We relate the coefficients of the probabilistic zeta function of a finite monolithic group to those of an almost simple group.
DOI : 10.1017/S0017089507004053
Mots-clés : 20P05, 20D60, 20D30 
JIMÉNEZ–SERAL, PAZ. COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP*. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 75-81. doi: 10.1017/S0017089507004053
@article{10_1017_S0017089507004053,
     author = {JIM\'ENEZ{\textendash}SERAL, PAZ},
     title = {COEFFICIENTS {OF} {THE} {PROBABILISTIC} {FUNCTION} {OF} {A} {MONOLITHIC} {GROUP*}},
     journal = {Glasgow mathematical journal},
     pages = {75--81},
     year = {2008},
     volume = {50},
     number = {1},
     doi = {10.1017/S0017089507004053},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004053/}
}
TY  - JOUR
AU  - JIMÉNEZ–SERAL, PAZ
TI  - COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP*
JO  - Glasgow mathematical journal
PY  - 2008
SP  - 75
EP  - 81
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004053/
DO  - 10.1017/S0017089507004053
ID  - 10_1017_S0017089507004053
ER  - 
%0 Journal Article
%A JIMÉNEZ–SERAL, PAZ
%T COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP*
%J Glasgow mathematical journal
%D 2008
%P 75-81
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004053/
%R 10.1017/S0017089507004053
%F 10_1017_S0017089507004053

[1] 1.Ballester-Bolinches, A. and Ezquerro, L. M., Classes of finite groups (Springer-Verlag, 2006). Google Scholar

[2] 2.Boston, N., A probabilistic generalization of the Riemann zeta functions, Analytic number theory I (1996), 155–162. Google Scholar | DOI

[3] 3.Brown, K. S., The coset poset and probabilistic zeta function of a finite group, J. Algebra 225 (2000), 989–1012. Google Scholar | DOI

[4] 4.Detomi, E. and Lucchini, A., Crowns and factorization of the probabilistic zeta function of a finite group, J. Algebra 265 (2003), 651–668. Google Scholar | DOI

[5] 5.Gaschütz, W., Die, EulerscheFunktion endlicher ausflösbarer Gruppen, Illinois J. Math. 3 (1959), 469–476. Google Scholar | DOI

[6] 6.Gross, F. and Kovács, L. G., On normal subgroups which are direct products, J. Algebra 90 (1984), 133–168. Google Scholar | DOI

[7] 7.Hall, P., The, Eulerianfunctions of a group, Quart. J. Math. Oxford 7 (1936), 134–151. Google Scholar | DOI

[8] 8.Kovács, L. G., Maximal subgroups in composite finite groups, J. Algebra 99 (1986), 114–131. Google Scholar | DOI

[9] 9.Mann, A., Positively finitely generated groups, Forum Math 8 (4) (1996), 429–459. Google Scholar | DOI

Cité par Sources :