Subgroup complexes of finite groups, and their representation and geometry

KAKEN

About This Project

Japan Grant Number
JP19740005 (JGN)
Funding Program
Grants-in-Aid for Scientific Research
Funding Organization
Japan Society for the Promotion of Science

Kakenhi Information

Project/Area Number
19740005
Research Category
Grant-in-Aid for Young Scientists (B)
Allocation Type
  • Single-year Grants
Review Section / Research Field
  • Science and Engineering > Mathematics and Physics > Mathematics > Algebra
Research Institution
  • Chiba University
Project Period (FY)
2007 〜 2010
Project Status
Completed
Budget Amount*help
3,040,000 Yen (Direct Cost: 2,500,000 Yen Indirect Cost: 540,000 Yen)

Research Abstract

In order to study the structure theory of finite groups, it is quite important to investigate that how various subgroups of the group relate or intersect each other. Then we consider an abstract simplicial complex defined by inclusion chains of subgroups as simplices ; which is called "subgroup complex". We obtained some results on the Lefschetz module, the generalized Burnside ring, or the homotopy invarinat associated to subgroup complexes.

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