000			03657nam a22004693i 4500
001			EBC3114476
003			MiAaPQ
005			20240729124609.0
006			m o d |
007			cr cnu||||||||
008			240724s2003 xx o ||||0 eng d
020			_a9781470403836 _q(electronic bk.)
020			_z9780821833667
035			_a(MiAaPQ)EBC3114476
035			_a(Au-PeEL)EBL3114476
035			_a(CaPaEBR)ebr11041254
035			_a(OCoLC)922964976
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.33 -- .B78 2003eb
082	0		_a510 s;514/.23
100	1		_aBruner, R.R.
245	1	0	_aConnective K-Theory of Finite Groups.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2003.
264		4	_c©2003.
300			_a1 online resource (144 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.165
505	0		_aIntro -- Contents -- Chapter 0. Introduction -- 0.1. Motivation -- 0.2. Highlights of Chapter 1 -- 0.3. Highlights of Chapter 2 -- 0.4. Highlights of Chapter 3 -- 0.5. Highlights of Chapter 4 -- 0.6. Reading guide -- 0.7. Acknowledgements -- Chapter 1. General properties of the ku-cohomology of finite groups -- 1.1. Varieties for connective K-theory -- 1.2. Implications for minimal primes -- 1.3. Euler classes and Chern classes -- 1.4. Bockstein spectral sequences -- 1.5. The Kiinneth theorem -- Chapter 2. Examples of ku-cohomology of finite groups -- 2.1. The technique -- 2.2. Cyclic groups -- 2.3. Nonabelian groups of order pq -- 2.4. Quaternion groups -- 2.5. Dihedral groups -- 2.6. The alternating group of degree 4 -- Chapter 3. The ku-homology of finite groups -- 3.1. General behaviour of ku[sub(*)](BG) -- 3.2. The universal coefficient theorem -- 3.3. Local cohomology and duality -- 3.4. The ku-homology of cyclic and quaternion groups -- 3.5. The ku-homology of BD[sub(8)] -- 3.6. Tate cohomology -- Chapter 4. The ku-homology and ku-cohomology of elementary abelian groups -- 4.1. Description of results -- 4.2. The ku-cohomology of elementary abelian groups -- 4.3. What local cohomology ought to look like -- 4.4. The local cohomology of Q -- 4.5. The 2-adic filtration of the local cohomology of Q -- 4.6. A free resolution of T -- 4.7. The local cohomology of T -- 4.8. Hilbert series -- 4.9. The quotient P/T[sub(2)] -- 4.10. The local cohomology of R -- 4.11. The ku-homology of BV -- 4.12. Duality for the cohomology of elementary abelian groups -- 4.13. Tate cohomology of elementary abelian groups -- Appendix A. Conventions -- A.1. General conventions -- A.2. Adams spectral sequence conventions -- Appendix B. Indices -- B.1. Index of calculations -- B.2. Index of symbols -- B.3. Index of notation -- B.4. Index of terminology -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aK-theory.
650		0	_aFinite groups.
655		4	_aElectronic books.
700	1		_aGreenlees, J.P.C.
776	0	8	_iPrint version: _aBruner, R.R. _tConnective K-Theory of Finite Groups _dProvidence : American Mathematical Society,c2003 _z9780821833667
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114476 _zClick to View
999			_c69971 _d69971