On Arithmetic Toroidal Groups

被引：0

作者：

Umeno, Takashi ^{[1
]}

机构：

[1] Kyushu Sangyo Univ, Dept Math, Fukuoka 8138503, Japan

来源：

FILOMAT | 2017年 / 31卷 / 01期

关键词：

Quasi-abelian varieties; Toroidal groups; Algebraic number fields;

D O I：

10.2298/FIL1701103U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Andreotti, Gherardelli, and Abe constructed toroidal groups from algebraic number fields. We call these toroidal groups arithmetic toroidal groups. We study the algebraic structures of arithmetic toroidal groups and we show two examples of arithmetic toroidal groups where one is a quasi-Abelian variety and the other has no nonconstant meromorphic functions on it.

引用

页码：103 / 106

页数：4

共 50 条

[1] ON TOROIDAL GROUPS
ABE, Y
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1989, 41 (04) : 699 - 708
[2] TOROIDAL GROUPS
SHI, ZY
COMMUNICATIONS IN ALGEBRA, 1992, 20 (11) : 3411 - 3458
[3] Arithmetic of arithmetic Coxeter groups
Milea, Suzana
Shelley, Christopher D.
Weissman, Martin H.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2019, 116 (02) : 442 - 449
[4] Cohomology of the fundamental groups of toroidal groups
Muta, Masanori
Umeno, Takashi
OSAKA JOURNAL OF MATHEMATICS, 2007, 44 (03) : 505 - 530
[5] DISTRIBUTIONS ON TOROIDAL GROUPS
KUBERT, D
LANG, S
MATHEMATISCHE ZEITSCHRIFT, 1976, 148 (01) : 33 - 51
[6] MAXIMAL ARITHMETIC GROUPS
ROHLFS, J
MATHEMATISCHE ANNALEN, 1978, 234 (03) : 239 - 252
[7] Arithmetic sets in groups
Akhmedov, Azer
Fulghesu, Damiano
MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (3-4) : 1195 - 1206
[8] CORNERS AND ARITHMETIC GROUPS
BOREL, A
SERRE, JP
COMMENTARII MATHEMATICI HELVETICI, 1973, 48 (04) : 436 - 491
[9] DEFINITE ARITHMETIC GROUPS
BARTELS, HJ
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1978, 301 : 27 - 29
[10] Generations for Arithmetic Groups
R. Sharma
T. N. Venkataramana
Geometriae Dedicata, 2005, 114 : 103 - 146

← 1 2 3 4 5 →