SPLITTINGS FOR THE BRAID-PERMUTATION GROUP

Title & Authors
SPLITTINGS FOR THE BRAID-PERMUTATION GROUP
Jeong, Chan-Seok; Song, Yong-Jin;

Abstract
The braid-permutation group is a group of welded braids which is the extension of Artin's braid groups by the symmetric groups. It is also described as a subgroup of the automorphism group of a free group. We also show that the plus-construction of the classifying space of the infinite braid-permutation group has the following two types of splittings BBP(equation omitted) B∑(equation omitted) $\small{\times}$ X, BBP(equation omitted) B $\small{^{＋}}$$\small{\times}$ Y＝S$\small{^1}$$\small{\times}$Y, where X, Y are some spaces.
Keywords
braid-permutation group;classfying spaces;
Language
English
Cited by
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