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Subgroups Of Direct Products Of Elementarily Free Groups

✍ Scribed by Martin R. Bridson; James Howie


Publisher
Springer
Year
2007
Tongue
English
Weight
256 KB
Volume
17
Category
Article
ISSN
1016-443X

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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