Component theorem

In the mathematical classification of finite simple groups, the component theorem of Aschbacher (1975, 1976) shows that if G is a simple group of odd type, and various other assumptions are satisfied, then G has a centralizer of an involution with a "standard component" with small centralizer.

References

  • Aschbacher, Michael (1975), "On finite groups of component type", Illinois Journal of Mathematics, 19: 87–115, doi:10.1215/ijm/1256050927, ISSN 0019-2082, MR 0376843
  • Aschbacher, Michael (1976), "Tightly embedded subgroups of finite groups", Journal of Algebra, 42 (1): 85–101, doi:10.1016/0021-8693(76)90028-4, ISSN 0021-8693, MR 0422400
Stub icon

This abstract algebra–related article is a stub. You can help Wikipedia by adding missing information.

Content Disclaimer

Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.

  1. The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
  2. There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
  3. It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
  4. Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.