Displaying similar documents to “On factorizations of finite Abelian groups which admit replacement of a Z-set by a subgroup.”

The determination of abelian Hall subgroups by a conjugacy class structure.

Wolfgang Kimmerle, Robert Sandling (1992)

Publicacions Matemàtiques

Similarity:

The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.

On some properties of pronormal subgroups

Leonid Kurdachenko, Alexsandr Pypka, Igor Subbotin (2010)

Open Mathematics

Similarity:

New results on tight connections among pronormal, abnormal and contranormal subgroups of a group have been established. In particular, new characteristics of pronormal and abnormal subgroups have been obtained.