FINITENESS OF PROFINITE GROUPS WITH A RATIONAL PROBABILISTIC ZETA FUNCTION

被引：0

|

作者：

Duong Hoang Dung ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, Postfach 100131, D-33501 Bielefeld, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 02期

关键词：

Maximal subgroups; Probabilistic zeta function; Profinite groups; SUBGROUPS; CROWNS; INDEX;

D O I：

10.1080/00927872.2014.990023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every profinite group in a certain class with a rational probabilistic zeta function has only finitely many maximal subgroups.

引用

收藏

页码：787 / 795

页数：9

相关论文

共 50 条

[31] A probabilistic generalization of the Riemann zeta function
Boston, N
ANALYTIC NUMBER THEORY, VOL 1: PROCEEDINGS OF A CONFERENCE IN HONOR OF HEINI HALBERSTAM, 1996, 138 : 155 - 162
[32] Groups of profinite type and profinite rigidity
Bar-On, Tamar
Nikolov, Nikolay
JOURNAL OF GROUP THEORY, 2024, 27 (06) : 1151 - 1169
[33] Recognizing soluble groups from their probabilistic zeta functions
Detomi, E
Lucchini, A
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 : 659 - 664
[34] Identifying π-Solvable Groups via their Probabilistic Zeta Functions∗
Wang, Shenyang
Meng, Hangyang
Guo, Xiuyun
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2024, 48 (05) : 705 - 712
[35] On the lerch zeta-function with rational parameters
Laurinčikas A.
Lithuanian Mathematical Journal, 1998, 38 (1) : 89 - 97
[36] Derivatives of the Hurwitz Zeta function for rational arguments
Miller, J
Adamchik, VS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 100 (02) : 201 - 206
[37] CHAOTIC MAPS WITH RATIONAL ZETA-FUNCTION
NUSSE, HE
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 304 (02) : 705 - 719
[38] A PROBABILISTIC-INTERPRETATION OF THE HURWITZ ZETA FUNCTION
LIPPERT, RA
ADVANCES IN MATHEMATICS, 1993, 97 (02) : 278 - 284
[39] A Probabilistic Proof for Representations of the Riemann Zeta Function
Liu, Jiamei
Huang, Yuxia
Yin, Chuancun
MATHEMATICS, 2019, 7 (04):
[40] Profinite groups, profinite completions and a conjecture of Moore
Aljadeff, E
ADVANCES IN MATHEMATICS, 2006, 201 (01) : 63 - 76

← 1 2 3 4 5 →