Talk:Zappa–Szép product

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This article should probably just be moved into the product of subgroups article. The articles of Zappa and Szep are five and fifteen years after a similar article by Miller. The product of subgroups goes back to at least Burnside, but one could possibly give Miller credit for the first systematic study of the property in the abstract. Certainly factorization results are a staple of modern group theory with Hall's Sylow systems and Thompson's factorization of p-solvable groups being high points. JackSchmidt 04:13, 5 July 2007

Actually, there is a second extra condition that the subgroups intersect trivially, so perhaps giving it a name is not a bad idea. Instead of merging this article, I think the product of subgroups article should be expanded to survey the various products, since the individual articles do not do a good job of this. In the meantime, I expanded the examples section with Miller's and Hall's work. Since Thompson's factorization results usually have a normal subgroup as part of the decomposition and rarely have trivial pairwise intersection, I removed them from this article. JackSchmidt 13:32, 5 July 2007 (UTC)