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Verbal subgroups of complete direct products of groups

✍ Scribed by S. A. Ashmanov


Publisher
SP MAIK Nauka/Interperiodica
Year
1971
Tongue
English
Weight
218 KB
Volume
9
Category
Article
ISSN
0001-4346

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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