Maximal Fitting classes of finite soluble groups

Richard A. Bryce; John Cossey

doi:10.1017/s0004972700040818

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Maximal Fitting classes of finite soluble groups

Richard A. Bryce John Cossey

Year: 1974 Journal: Bulletin of the Australian Mathematical Society Vol: 10 (2)Pages: 169-175 Publisher: Cambridge University Press

DOI: 10.1017/s0004972700040818

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Abstract

From recent results of Lausch, it is easy to establish necessary and sufficient conditions for a Fitting class to be maximal in the class of all finite soluble groups. We use Lausch's methods to show that there are normal Fitting classes not contained in any Fitting class maximal in the class of all finite soluble groups. We also find conditions on Fitting classes and for to be maximal in .

Keywords:

Mathematics Class (philosophy) Fitting subgroup Pure mathematics Combinatorics p-group Symmetric group Computer science Artificial intelligence

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Coding theory and cryptography

Physical Sciences → Computer Science → Artificial Intelligence

Maximal Fitting classes of finite soluble groups

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