The BNS invariants of the braid groups and pure braid groups of some surfaces

被引：0

作者：

de Miranda e Pereiro, Carolina ^{[1
]}

Sgobbi, Wagner Carvalho ^{[1
]}

机构：

[1] ACS OMEGA

来源：

COMMUNICATIONS IN ALGEBRA | 1600年 / 2卷 / 12期

关键词：

BNS invariants; braid groups; R-infinity property; VALUATIONS; PROPERTY; SERIES; MAPS;

D O I：

ACS OMEGA

中图分类号：

学科分类号：

摘要：

We compute the Bieri-Neumann-Strebel invariants Sigma(1)for the full and pure braid groups of the sphere S-2, the real projective plane RP2, the torus T and the Klein bottle K. For M = T or M=K, n >= 2, we show that the action by homeomorphisms of Out(P-n(M)) on S(P-n(M)) contains certain permutations, under which Sigma(1)(P-n(M))(c) is invariant. Furthermore, Sigma(1)(P-n(T))c, and Sigma(1)(P-n(S-2))(c) (with n >= 5) are finite unions of circles, and Sigma(1)(P-n(K))(c) is finite. This implies the existence of H(sic)Aut(P-n(K)) with |Aut(P-n(K)):H|2O3 Composite Foam Thermal Insulation Sealing Materials for Coal Mines

引用

页数：9