On the WGSC Property in Some Classes of Groups

被引：10

作者：

Otera, Daniele Ettore ^{[1
]}

Russo, Francesco ^{[2
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2009年 / 6卷 / 04期

关键词：

Weak geometric simple connectivity; solvable group; FC-group; SPACES;

D O I：

10.1007/s00009-009-0021-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The property of quasi-simple filtration (or qsf) for groups has been introduced in literature more than 10 years ago by S. Brick. This is equivalent, for groups, to the weak geometric simple connectivity (or wgsc). The main interest of these notions is that there is still not known whether all finitely presented groups are wgsc (qsf) or not. The present note deals with the wgsc property for solvable groups and generalized FC-groups. Moreover, a relation between the almost-convexity condition and the Tucker property, which is related to the wgsc property, has been considered for 3-manifold groups.

引用

页码：501 / 508

页数：8

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