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Finite varieties and groups with Sylow p-subgroups of low class
Published online by Cambridge University Press: 09 April 2009
Abstract
A finite variety is a class of finite groups closed under taking subgroups, factor groups and finite direct products. To each such class there exists a sequence w1, w2,… of words such that the finite group G belongs to the class if and only if wk(G) = 1 for almost all k. As an illustration of the theory we shall present sequences of words for the finite variety of groups whose Sylow p-subgroups have class c for c = 1 and c = 2.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 464 - 469
- Copyright
- Copyright © Australian Mathematical Society 1981
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