Injectors with a central socle in a finite solvable group

JOURNAL OF ALGEBRA

卷:381

Article

Dark, Rex¹  Feldman, Arnold D.²  Perez-Ramos, Maria Dolores³ 

[1] Natl Univ Ireland, Galway, Ireland

[2] Franklin & Marshall Coll, Lancaster, PA 17604 USA

[3] Univ Valencia, Dept Algebra, E-46100 Burjassot, Valencia, Spain

关键词: Finite solvable group theory;    Fitting class;    Injector;    Central socle;   

DOI  :  10.1016/j.jalgebra.2013.01.040

来源: Elsevier

【 摘 要 】

In response to an Open Question of Doerk and Hawkes (1992) [2, IX 4, p. 628], we shall describe three constructions for the Z(pi)-injectors of a finite solvable group, where Z(pi) is the Fitting class formed by the finite solvable groups whose pi-socle is central (and pi is a set of prime numbers). (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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