Thompson factorization: Difference between revisions

Revision as of 17:36, 22 February 2011

Revision as of 03:39, 2 September 2011

Line 1:

{{Wikify|date=September 2011}}

In mathematical finite group theory, a '''Thompson factorization''', introduced by {{harvs|txt|authorlink=John G. Thompson|year=1966|last=Thompson}}, is an expression of some finite groups as a product of two subgroups, usually normalizers or centralizers of ''p''-subgroups for some prime ''p''.

==References==

*{{Citation | last1=Aschbacher | first1=Michael | author1-link=Michael Aschbacher | title=Finite group theory | publisher=[[Cambridge University Press]] | edition=2nd | series=Cambridge Studies in Advanced Mathematics | isbn=978-0-521-78145-9; 978-0-521-78675-1 | idmr={{MathSciNet | id = 1777008}} | year=2000 | volume=10}}

*{{Citation | last1=Aschbacher | first1=Michael | author1-link=Michael Aschbacher | title=On the failure of the Thompson factorization in 2-constrained groups | doi=10.1112/plms/s3-43.3.425 | idmr={{MR|635564}} | year=1981 | journal=Proceedings of the London Mathematical Society. Third Series | issn=0024-6115 | volume=43 | issue=3 | pages=425–449}}

*{{Citation | last1=Thompson | first1=John G. | author1-link=John G. Thompson | title=Factorizations of ''p''-solvable groups | url=http://projecteuclid.org/euclid.pjm/1102994982 | idmr={{MR|0188296}} | year=1966 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=16 | pages=371–372}}

[[Category:Finite groups]]