Sets which reflect properties of finite groups and structure of groups
Project/Area Number |
21540022
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Kumamoto University |
Principal Investigator |
CHIGIRA Naoki 熊本大学, 大学院・自然科学研究科, 准教授 (40292073)
|
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)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | 群論 / 代数学 / 有限群 / 群上の方程式 / 組合せ構造 |
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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Report
(4 results)
Research Products
(16 results)