Normally closed saturated formations

Author:

Hale Mark P.

Abstract

Theorems of Gaschütz and Baer concerning the Frattini subgroup, the hypercenter, and nilpotent and supersolvable subgroups are extended to normally closed saturated formations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Supersoluble immersion;Baer, Reinhold;Canadian J. Math.,1959

2. The \cal𝐹-normalizers of a finite soluble group;Carter, Roger;J. Algebra,1967

3. B. Fischer, Classes of conjugate subgroups in finite solvable groups, Yale University, New Haven, Conn., 1966.

4. Über die Φ-Untergruppe endlicher Gruppen;Gaschütz, Wolfgang;Math. Z.,1953

5. Zur Theorie der endlichen auflösbaren Gruppen;Gaschütz, Wolfgang;Math. Z.,1962

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Locally constructed formations;Archiv der Mathematik;1989-12

2. Onf-hypercentral modules for Lie algebras;Archiv der Mathematik;1978-12

3. Thef-length of finite groups;Mathematical Notes of the Academy of Sciences of the USSR;1976-05

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