Abstract
The word local is used in finite group-theory in relation to a fixed prime p; thus properties of p-subgroups or their normalisers, for example, are regarded as local. In the case of a soluble group, then, everything is local, but an insoluble group also has global aspects. Now the local behaviour influences the global, that is, there are theorems in which the hypothesis involves only p-subgroups and their normalisers, but the conclusion involves the whole group. This chapter is an introduction to theorems of this sort.
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© 1982 Springer-Verlag Berlin Heidelberg
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Huppert, B., Blackburn, N. (1982). Local Finite Group Theory. In: Finite Groups III. Grundlehren der mathematischen Wissenschaften, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67997-1_1
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DOI: https://doi.org/10.1007/978-3-642-67997-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-67999-5
Online ISBN: 978-3-642-67997-1
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