A family of dominant Fitting classes of finite soluble groups

A. Ballester‐Bolinches; A. Martı́nez-Pastor; M. D. Pérez‐Ramos

doi:10.1017/s1446788700001270

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A family of dominant Fitting classes of finite soluble groups

A. Ballester‐Bolinches A. Martı́nez-Pastor M. D. Pérez‐Ramos

Year: 1998 Journal: Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Vol: 64 (1)Pages: 33-43 Publisher: Cambridge University Press

DOI: 10.1017/s1446788700001270

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Abstract

Abstract In this paper a large family of dominant Fitting classes of finite soluble groups and the description of the corresponding injectors are obtained. Classical constructions of nilpotent and Lockett injectors as well as p -nilpotent injectors arise as particular cases.

Keywords:

Nilpotent Mathematics Injector Pure mathematics Nilpotent group Algebra over a field Engineering

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

A family of dominant Fitting classes of finite soluble groups

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