Research on classifying spaces of finite groups
Project/Area Number |
19740037
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Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Geometry
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Research Institution | Chiba Institute of Science (2008-2010) Kyoto University (2007) |
Principal Investigator |
INOUE Masateru Chiba Institute of Science, 危機管理学部, 講師 (60378544)
|
Project Period (FY) |
2007 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥3,040,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥540,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥700,000 (Direct Cost: ¥700,000)
|
Keywords | トポロジー / ホモトピー論 / ホモトピー / 分類空間 / モジュラー表現 |
Research Abstract |
The classifying space B(Z/p)^n splits stably. Though it is difficult to study a stable summand of B(Z/p)^n in general, I researched the Steinberg summand M(n) which has various good properties. I calculated on the Hurewicz image of M(n). We see that the Hurewicz image is equal to 0 or Z/p in any dimension from the previous papers. The results in the papers imply that the Hurewicz image is equal to 0 in some dimensions. By this research, I determined that the Hurewicz image is equal to 0 in most dimensions. Though it is not determined completely, I expect that the indeterminate part is Z/p from the result in the case n=1.
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Report
(6 results)
Research Products
(9 results)