The decision of decomposition numbers for the sporadic finite simple group J4

• Project/Area Number: 25400002
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Algebra
• Research Institution: Yamagata University
• Principal Investigator: Waki Katsushi 山形大学, 理学部, 教授 (30250591)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000); Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000); Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
• Keywords: モジュラー表現 / 散財型有限単純群 / 散在型有限単純群 / モジュラー表現論 / 散在型単純群

Outline of Final Research Achievements

We proved that we can construct irreducible representation of degree 1333 over the finite filed of characteristic 3 by using the computational amagamation of maximal subgroups of J4.

Research Products

• [Journal Article] Enumeration of Conformers of Octahedral [M(ABC)_6] Complex on the Basis of Computational Group Theory (2016)
  • Author(s): HIROSHI SAKIYAMA AND KATSUSHI WAKI
  • Journal Title: Iranian Journal of Mathematical Chemistry Volume: 7(2) Pages: 219-227
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Conformational Analysis of Hexakis-<b><i>N</i></b>-Methylformamide Nickel(II) Complex on the Basis of Computational Group Theory and Density Functional Theory (2015)
  • Author(s): Hiroshi Sakiyama, Katsushi Waki
  • Journal Title: Journal of Computer Chemistry, Japan -International Edition Volume: 1 Issue: 0 Pages: 5-8
  • DOI: 10.2477/jccjie.2015-0047
  • NAID: 130005118301
  • ISSN: 2189-048X
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Conformational Analysis of Hexakis-Methylamine Nickel(II) Complex on the Basis of Computational Group Theory and Density Functional Theory (2014)
  • Author(s): Hiroshi Sakiyama and Katsushi Waki
  • Journal Title: Journal of Computer Chemistry, Japan Volume: 13 Issue: 4 Pages: 223-228
  • DOI: 10.2477/jccj.2014-0003
  • NAID: 130004677831
  • ISSN: 1347-1767, 1347-3824
  • Peer Reviewed / Acknowledgement Compliant
• [Presentation] Subgroups of J4 for Amalgamation (2015)
  • Author(s): 脇 克志
  • Organizer: 日本数学会
  • Place of Presentation: 明治大学
  • Year and Date: 2015-03-23
• [Presentation] J4の1333次表現の構成 (2014)
  • Author(s): 脇 克志
  • Organizer: 有限群草津セミナー
  • Place of Presentation: 草津セミナーハウス
  • Year and Date: 2014-08-02
• [Funded Workshop] 11th Symposium on Algebra and Computation (2015)
  • Place of Presentation: Tokyo Metropolitan University
  • Year and Date: 2015-12-14