The Whitehead Group and the Lower Algebraic K-theory of Braid Groups on S2 and R, Page 2

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ProQuest, 2008 - Braid theory - 90 pages
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Let M be the 2-sphere or the 2-projective plane. If G is a braid group of M, we show that G satisfies the Farrell-Jones Fibered Isomorphism Conjecture and use this fact to compute the lower algebraic K-theory for these groups. The main results are that for the 2-sphere the lower algebraic K-groups vanish and for the 2-projective plane also vanishes, except for two cases.
 

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Contents

Introduction
1
Braid Groups on S2 and RP2 satisfy the FIC
17
Ingredients for the Computations
32
The Whitehead group of PBnS2 and PBnRP2
52
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