Fundamental groups of prime 3-manifolds of genus at most two

被引：0

作者：

Karabas, Jan ^{[1
]}

Malicky, Peter ^{[1
]}

Nedela, Roman ^{[1
]}

机构：

[1] SAS, Inst Math & Comp Sci, Math Inst, Banska Bystrica, Slovakia

来源：

GRAPHS '04 | 2007年 / 36卷

关键词：

3-manifold; fundamental group; first homology group; crystalisation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Present paper deals with fundamental groups of 3-manifolds represented by a certain family S of bipartite 4-edge-coloured graphs. List of fundamental groups of prime,3-manifolds with genus two represented by graphs in S with at most 42 vertices is produced.

引用

页码：1 / +

页数：3

共 50 条

[31] GEOMETRIC DECOMPOSITION OF SPATIAL KLEINIAN-GROUPS AND FUNDAMENTAL-GROUPS OF 3-MANIFOLDS
POTYAGAILO, LD
SIBERIAN MATHEMATICAL JOURNAL, 1989, 30 (05) : 773 - 783
[32] Classifying Genus Two 3-Manifolds up to 34 Tetrahedra
Paola Bandieri
Carlo Gagliardi
Laura Ricci
Acta Applicandae Mathematica, 2005, 86 : 267 - 283
[33] Twofold unbranched coverings of genus two 3-manifolds are hyperelliptic
Mednykh, A
Reni, M
ISRAEL JOURNAL OF MATHEMATICS, 2001, 123 (1) : 149 - 155
[34] Classifying genus two 3-manifolds up to 34 tetrahedra
Bandieri, P
Gagliardi, C
Ricci, L
ACTA APPLICANDAE MATHEMATICAE, 2005, 86 (03) : 267 - 283
[35] Twofold unbranched coverings of genus two 3-manifolds are hyperelliptic
Alexander Mednykh
Marco Reni
Israel Journal of Mathematics, 2001, 123 : 149 - 155
[36] ON UNIVERSAL GROUPS AND 3-MANIFOLDS
HILDEN, HM
LOZANO, MT
MONTESINOS, JM
WHITTEN, WC
INVENTIONES MATHEMATICAE, 1987, 87 (03) : 441 - 456
[37] Small 3-manifolds of large genus
Agol, I
GEOMETRIAE DEDICATA, 2003, 102 (01) : 53 - 64
[38] HEEGAARD SPLITTINGS OF PRIME 3-MANIFOLDS ARE NOT UNIQUE
BIRMAN, JS
GONZALEZACUNA, F
MONTESINOS, JM
MICHIGAN MATHEMATICAL JOURNAL, 1976, 23 (02) : 97 - 103
[39] An algorithmic approach to construct crystallizations of 3-manifolds from presentations of fundamental groups
Basak, Biplab
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2016, 126 (04): : 629 - 653
[40] The number of subgroups in the fundamental groups of some non-orientable 3-manifolds
Liskovets, V
Mednykh, A
FORMAL POWER SERIES AND ALGEBRAIC COMBINATORICS, 2000, : 276 - 287

← 1 2 3 4 5 →