Thompson factorization

In mathematical finite group theory, a Thompson factorization, introduced by Thompson (1966), 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

• Aschbacher, Michael (2000), Finite group theory, Cambridge Studies in Advanced Mathematics, 10 (2nd ed.), Cambridge University Press, ISBN 0-521-78145-0, MR 1777008 
• Aschbacher, Michael (1981), "On the failure of the Thompson factorization in 2-constrained groups", Proceedings of the London Mathematical Society. Third Series, 43 (3): 425–449, ISSN 0024-6115, MR 635564, doi:10.1112/plms/s3-43.3.425 
• Thompson, John G. (1966), "Factorizations of p-solvable groups", Pacific Journal of Mathematics, 16: 371–372, ISSN 0030-8730, MR 0188296, doi:10.2140/pjm.1966.16.371