000			02288nam a22002655i 4500
001			135836
003			ISI Library, Kolkata
005			20150605125153.0
008			140723s2014 nyu 000 0 eng
020			_a9783319081526 (hard cover : alk. paper)
040			_aISI Library
082	0	0	_a512.66 _223 _bF231
100	1		_aFarley, Daniel Scott.
245	1	0	_aAlgebraic K-theory of crystallographic groups : _bthe three-dimensional splitting case / _cDaniel Scott Farley and Ivonne Johanna Ortiz.
260			_aSwitzerland : _bSpringer, _c2014.
300			_ax, 148 p. ; _billustrations.
490	0		_aLecture notes in mathematics ; _v2113.
504			_aIncludes bibliographical references and index.
505	0		_a1. Introduction-- 2. Three-Dimensional point groups-- 3. Arithmetic classification of pairs (L, H)-- 4. The split three-dimensional crystallographic groups-- 5. A splitting formula for lower algebraic K-theory-- 6. Fundamental domains for the maximal groups-- 7. The homology groups-- 8. Fundamental domains for actions on spaces of planes-- 9. Cokernels of the relative assembly maps for-- 10. Summary-- References-- Index.
520			_aThe Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
650		0	_aK-theory.
650		0	_aGroup theory.
700	1		_aOrtiz, Ivonne Johanna.
942			_2ddc _cBK
999			_c418756 _d418756