On K * (Z /n) and K * (F q [t] /(t 2)):
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1985
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
329 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 57, Number 329 (first of 6 numbers) |
| Beschreibung: | VI, 200 S. |
| ISBN: | 0821823302 |
Internformat
MARC
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| 100 | 1 | |a Aisbett, Janet E. |d 1951- |e Verfasser |0 (DE-588)171946731 |4 aut | |
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| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1985 | |
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
On K3(Z/pn) and K^Z/p )
Introduct ion 1
§1.1: Some results from algebraic topology 4
§1.2: Some explicit differentials 5
§1.3: Proofs 7
§1.4: Filtration of H*(M Z/p2;Z) 13
§11.1: Results of Evens Friedlander, Lluis § Snaith 17
§11.2: K3(Z/p2) for primes p 3 20
§11.3: K3(Z/4) = Z/12 24
§11.4: K (Z/9) = Z/8 9 Z/9 28
Appendix to §11.1 31
§111.1: Mod p cohomology of ker(SL Z/p3 SL Z/p) 33
§111.2: Mod p cohomology of ker(SL Z/pk SL Z/p), k 3 39
1st Appendix to §111.1 (case p = 2) 44
2nd Appendix to §111.1 (commutator relations, and
the SL Z/p action) 48
§IV.l: Integral cohomology of ker(SL Z/p SL Z/p) 49
§1V.2: SLnZ/p invariants in H4( ;Z) of this kernel 54
Appendix to §IV.l 62
Appendix to § IV. 2 64
§V. 1: K3 (Z/pk), K4 (Z/pk) for k an odd prime 68
§V.2: K3(Z/2k) 73
§V1.1: Maps induced by reduction 79
SLZ » SLZ/pk
TABLE OF CONTENTS
Notation 86
Bibliography 89
On K.fff 0[t]/(t2) and K,(Z/q),p an odd prime
3 ?SL i
§ 1: Introduction 91
§2: Proofs of §§1.1/1.2 92
§3: Group cohomology calculations 96
Bibliography 99
On K_ of dual numbers
Introduction statement of results 101
Si: Computations of some k* invariants 105
§2: Computation of HX(T k;H1(M k)) for i = 0, 1 and 2 108
§3: R invariants in H2(M k) 114
n v n
§4: Estimates of H^T k;H2(M k)) 120
v n v n
§5: Vanishing of H1(GL k;H2(M k)) 132
n n
§6: GL invariants of H3(M k) 145
n *¦ n
§7: H*(GLk;H»(MJO) as a Hopf algebra 150
§8: Explicit generators for H2(SLk;H(M k)) 154
§9: Determination of K(F [e]) 170
§10: On K (2/4) and K of Witt vectors, W,(F ) 177
§11: Some classes in H,(SLk;H, (M k)) and their
O 1 a
d differential 183
§12: List of notations and formulae for group actions 191
Appendix: Homological Stability of the Steinberg Group over the
integers, by C. Soulfi 195
Bihliography 299
|
| any_adam_object | 1 |
| author | Aisbett, Janet E. 1951- Lluis-Puebla, Emilio Snaith, Victor P. 1944- |
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| author_sort | Aisbett, Janet E. 1951- |
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| id | DE-604.BV006397244 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:45:23Z |
| institution | BVB |
| isbn | 0821823302 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004050810 |
| oclc_num | 260008615 |
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| physical | VI, 200 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Aisbett, Janet E. 1951- Verfasser (DE-588)171946731 aut On K * (Z /n) and K * (F q [t] /(t 2)) Janet E. Aisbett, Emilio Lluis-Puebla and Victor Snaith. With an appendix by Christophe Soulé Providence, RI American Mathematical Society 1985 VI, 200 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 329 Volume 57, Number 329 (first of 6 numbers) Homologietheorie (DE-588)4141714-8 gnd rswk-swf Algebraische K-Theorie (DE-588)4141839-6 gnd rswk-swf Spektralsequenz (DE-588)4182172-5 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf K-Theorie (DE-588)4033335-8 gnd rswk-swf K-Theorie (DE-588)4033335-8 s Homologietheorie (DE-588)4141714-8 s Spektralsequenz (DE-588)4182172-5 s DE-604 Algebraische K-Theorie (DE-588)4141839-6 s Kohomologietheorie (DE-588)4164610-1 s Lluis-Puebla, Emilio Verfasser aut Snaith, Victor P. 1944- Verfasser (DE-588)108351882 aut American Mathematical Society: Memoirs of the American Mathematical Society 329 (DE-604)BV008000141 329 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004050810&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aisbett, Janet E. 1951- Lluis-Puebla, Emilio Snaith, Victor P. 1944- On K * (Z /n) and K * (F q [t] /(t 2)) American Mathematical Society: Memoirs of the American Mathematical Society Homologietheorie (DE-588)4141714-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Spektralsequenz (DE-588)4182172-5 gnd Kohomologietheorie (DE-588)4164610-1 gnd K-Theorie (DE-588)4033335-8 gnd |
| subject_GND | (DE-588)4141714-8 (DE-588)4141839-6 (DE-588)4182172-5 (DE-588)4164610-1 (DE-588)4033335-8 |
| title | On K * (Z /n) and K * (F q [t] /(t 2)) |
| title_auth | On K * (Z /n) and K * (F q [t] /(t 2)) |
| title_exact_search | On K * (Z /n) and K * (F q [t] /(t 2)) |
| title_full | On K * (Z /n) and K * (F q [t] /(t 2)) Janet E. Aisbett, Emilio Lluis-Puebla and Victor Snaith. With an appendix by Christophe Soulé |
| title_fullStr | On K * (Z /n) and K * (F q [t] /(t 2)) Janet E. Aisbett, Emilio Lluis-Puebla and Victor Snaith. With an appendix by Christophe Soulé |
| title_full_unstemmed | On K * (Z /n) and K * (F q [t] /(t 2)) Janet E. Aisbett, Emilio Lluis-Puebla and Victor Snaith. With an appendix by Christophe Soulé |
| title_short | On K * (Z /n) and K * (F q [t] /(t 2)) |
| title_sort | on k z n and k f q t t 2 |
| topic | Homologietheorie (DE-588)4141714-8 gnd Algebraische K-Theorie (DE-588)4141839-6 gnd Spektralsequenz (DE-588)4182172-5 gnd Kohomologietheorie (DE-588)4164610-1 gnd K-Theorie (DE-588)4033335-8 gnd |
| topic_facet | Homologietheorie Algebraische K-Theorie Spektralsequenz Kohomologietheorie K-Theorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004050810&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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