LEADER 03777nam 2200601 450 001 9910480176903321 005 20170822144320.0 010 $a1-4704-0383-8 035 $a(CKB)3360000000464969 035 $a(EBL)3114476 035 $a(SSID)ssj0000888849 035 $a(PQKBManifestationID)11483282 035 $a(PQKBTitleCode)TC0000888849 035 $a(PQKBWorkID)10864680 035 $a(PQKB)10213884 035 $a(MiAaPQ)EBC3114476 035 $a(PPN)195416716 035 $a(EXLCZ)993360000000464969 100 $a20030430h20032003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe connective K-theory of finite groups /$fR.R. Bruner, J.P.C. Greenlees 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2003] 210 4$dİ2003 215 $a1 online resource (144 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 785 300 $a"Volume 165, number 785 (second of 4 numbers)." 311 $a0-8218-3366-9 320 $aIncludes bibliographical references (pages 125-127) and indexes. 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""A.2. Adams spectral sequence conventions""""Appendix B. Indices""; ""B.1. Index of calculations""; ""B.2. Index of symbols""; ""B.3. Index of notation""; ""B.4. Index of terminology""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 785. 606 $aK-theory 606 $aFinite groups 608 $aElectronic books. 615 0$aK-theory. 615 0$aFinite groups. 676 $a510 s 676 $a514/.23 700 $aBruner$b R. R$g(Robert Ray),$f1950-$0982391 702 $aGreenlees$b J. P. C$g(John Patrick Campbell),$f1959- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480176903321 996 $aThe connective K-theory of finite groups$92242186 997 $aUNINA