2011 Fiscal Year Final Research Report
Sets which reflect properties of finite groups and structure of groups
| Project/Area Number |
21540022
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kumamoto University |
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Principal Investigator |
CHIGIRA Naoki 熊本大学, 大学院・自然科学研究科, 准教授 (40292073)
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| Co-Investigator(Renkei-kenkyūsha) |
WATANABE Atumi 熊本大学, 大学院・自然科学研究科, 教授 (90040120)
HIRAMIME Yutaka 熊本大学, 教育学部, 教授 (30116173)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 群論 |
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| Research Abstract |
As a set which reflects properties of finite groups, we treated pre-image of a certain function between groups. We studied some properties for the function and the structur e of groups using this. Also we studied some properties of the number of crossed homomorphisms, two generated properties for sporadic simple groups and combinatorial structure related to Rudvalis simple group.
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