논문KCI 등재
Splittings for the braid-permutation group
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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_{infty}^+ simeq BSigma_{infty}^+ times X,BBP_{infty}^+ simeq Bmathbb{Z}^+ times Y=S^1 times Y, where X, Y are some spaces.
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