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: ¥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.

Research Products

• [Journal Article] A construction for modified generalized Hadamard matrices using QGH matrices (2012)
  • Author(s): 平峰豊
  • Journal Title: Designs, Codes and Cryptography Volume: vol.62 Pages: 279-288
  • NAID: 120005660761
  • Peer Reviewed
• [Journal Article] On(p^2, p, p^2, p)-difference sets in Zp^3' (2012)
  • Author(s): 平峰豊
  • Journal Title: Journal of Statistical Theory and Practice Volume: vol.6 Pages: 88-96
  • Peer Reviewed
• [Journal Article] A family of non class regular symmetric transversal designs of spread type (2011)
  • Author(s): 平峰豊
  • Journal Title: Designs, Codes and Cryptography Volume: Vol.60 Pages: 91-99
  • NAID: 120004724832
  • Peer Reviewed
• [Journal Article] Modified generalized Hadamard matrices and constructions for transversal designs (2010)
  • Author(s): 平峰豊
  • Journal Title: Designs, Codes and Cryptography Volume: Vol.56 Pages: 21-33
  • NAID: 120005671307
  • Peer Reviewed
• [Journal Article] On abelian(2n, n, 2n, 2)-difference sets (2010)
  • Author(s): 平峰豊
  • Journal Title: Journal of Combinatorial Theory, Ser. A Volume: Vol.101 Pages: 281-284
  • NAID: 120005671303
  • Peer Reviewed
• [Journal Article] On the Dade character correspondence and isometries between blocks of finite groups (2010)
  • Author(s): 渡邉アツミ
  • Journal Title: Osaka J. Math Volume: 47 Pages: 817-837
  • Peer Reviewed
• [Presentation] 単純群と組み合わせ構造 (2011)
  • Author(s): 千吉良直紀
  • Organizer: 南九州代数系集会
  • Place of Presentation: 鹿児島県・鹿児島大学
  • Year and Date: 2011-08-27
• [Presentation] 単純群と組合せ構造 (2011)
  • Author(s): 千吉良直紀
  • Organizer: 南九州代数系集会
  • Place of Presentation: 鹿児島大学(招待講演)
  • Year and Date: 2011-08-27
• [Presentation] Odd Order Remarkについて (2011)
  • Author(s): 千吉良直紀
  • Organizer: 有限群論草津セミナー
  • Place of Presentation: 群馬県・草津セミナーハウス
  • Year and Date: 2011-07-31
• [Presentation] Odd Order Remarkについて (2011)
  • Author(s): 千吉良直紀
  • Organizer: 有限群論草津セミナー
  • Place of Presentation: 草津セミナーハウス(滋賀)(招待講演)
  • Year and Date: 2011-07-31
• [Presentation] Rudvalis群と符号 (2011)
  • Author(s): 千吉良直紀
  • Organizer: 第28回代数的組み合わせ論シンポジウム
  • Place of Presentation: 大分県・大分大学
  • Year and Date: 2011-06-20
• [Presentation] Rudvalis群と符号 (2011)
  • Author(s): 千吉良真紀
  • Organizer: 第28回代数的組合せ論シンポジウム
  • Place of Presentation: 大分大学(招待講演)
  • Year and Date: 2011-06-20
• [Presentation] On groups generated by two elements (2010)
  • Author(s): 千吉良直紀
  • Organizer: Research into vertex operator algebras, finite groups and Combinatorics(RIMS研究集会)
  • Place of Presentation: 京都府・京都大学
  • Year and Date: 2010-12-14
• [Presentation] On groups generated by two elements (2010)
  • Author(s): 千吉良直紀
  • Organizer: Research into Vertex Operator Algebras, Finite Groups and Combinatorice(RIMS研究集会)
  • Place of Presentation: 京都大学理学部(京都府)
  • Year and Date: 2010-12-14
• [Presentation] 有限群でのMagmaの利用 (2010)
  • Author(s): 千吉良直紀
  • Organizer: Magmaで広がる数学の世界
  • Place of Presentation: 福岡県・九州大学
  • Year and Date: 2010-10-10
• [Presentation] 有限群論でのMagmaの利用 (2010)
  • Author(s): 千吉良直紀
  • Organizer: Magmaで広がる数学の世界
  • Place of Presentation: 九州大学大学院数理学研究院(福岡県)
  • Year and Date: 2010-10-10