Thompson factorization: Difference between revisions

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{{Short description|Mathematical theory}}

{{Underlinked|date=November 2012}}

In mathematical[[Group theory#Finite group theory|finite group theory]], a branch of [[mathematics]], a '''Thompson factorization''', introduced by {{harvs|txt|authorlink=John G. Thompson|year=1966|last=Thompson}}, is an expression of some [[finite groupsgroup]]s as a product of two subgroups[[subgroup]]s, usually [[centralizer and normalizer|normalizers]] or [[centralizer and normalizer|centralizers]] of [[p-group|''p''-subgroups]] for some [[prime number|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= 0-521-78145-0 | mr=1777008 | year=2000 | volume=10}}

*{{Citation | last1=Aschbacher | first1=Michael | title=On the failure of the Thompson factorization in 2-constrained groups | doi=10.1112/plms/s3-43.3.425 | mr=635564 | year=1981 | journal=Proceedings of the London Mathematical Society. |series=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 | mr=0188296 | year=1966 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=16 | issue=2 | pages=371–372 | doi=10.2140/pjm.1966.16.371| doi-access=free }}

[[Category:Finite groups]]

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