Periodicity of free subgroup numbers modulo prime powers

被引：2
|
作者：
Krattenthaler, C. [1 ]
Mueller, T. W. [2 ]
机构：
[1] Univ Vienna, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Univ London, Queen Mary & Westfield Coll, Sch Math Sci, Mile End Rd, London E1 4NS, England
来源：
JOURNAL OF ALGEBRA | 2016年 / 452卷
基金：
奥地利科学基金会;
关键词：
Virtually free groups; Free subgroup numbers; Modular group; Periodic sequences;
D O I：
10.1016/j.jalgebra.2015.12.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterise when the sequence of free subgroup numbers of a finitely generated virtually free group is ultimately periodic modulo a given prime power. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：372 / 389
页数：18
相关论文
共 50 条
  • [21] Binomial Character Sums Modulo Prime Powers
    Pigno, Vincent
    Pinner, Christopher
    [J]. JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2016, 28 (01): : 39 - 53
  • [22] Matrix Kloosterman sums modulo prime powers
    M. Erdélyi
    Á. Tóth
    G. Zábrádi
    [J]. Mathematische Zeitschrift, 2024, 306
  • [23] Noisy polynomial interpolation modulo prime powers?
    Karpinski, Marek
    Shparlinski, Igor E.
    [J]. JOURNAL OF COMPLEXITY, 2021, 64
  • [24] Root sets of polynomials modulo prime powers
    Maulik, D
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2001, 93 (01) : 125 - 140
  • [25] Partitions modulo prime powers and binomial coefficients
    Cai, TX
    [J]. NUMBER THEORETIC METHODS: FUTURE TRENDS, 2002, 8 : 67 - 72
  • [26] Matrix Kloosterman sums modulo prime powers
    Erdelyi, M.
    Toth, A.
    Zabradi, G.
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2024, 306 (04)
  • [27] On congruences of Euler numbers modulo powers of two
    Liu, Guodong
    [J]. JOURNAL OF NUMBER THEORY, 2008, 128 (12) : 3063 - 3071
  • [28] ON THE THETA OPERATOR FOR MODULAR FORMS MODULO PRIME POWERS
    Chen, Imin
    Kiming, Ian
    [J]. MATHEMATIKA, 2016, 62 (02) : 321 - 336
  • [29] Lehmer numbers and primitive roots modulo a prime
    Cohen, Stephen D.
    Trudgian, Tim
    [J]. JOURNAL OF NUMBER THEORY, 2019, 203 : 68 - 79
  • [30] Distribution of recurrent sequences modulo prime powers (Abstract)
    Pinch, RGE
    [J]. CRYPTOGRAPHY AND CODING: 5TH IMA CONFERENCE, 1995, 1025 : 188 - 189
12345