Maximal Subgroups of Direct Products
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Jacques ThΓ©venaz
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Article
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1997
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Elsevier Science
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English
β 181 KB
We determine all maximal subgroups of the direct product G n of n copies of a group G. If G is finite, we show that the number of maximal subgroups of G n is a quadratic function of n if G is perfect, but grows exponentially otherwise. We deduce a theorem of Wiegold about the growth behaviour of the