𝔖 Bobbio Scriptorium
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Subgroups of direct products

✍ Scribed by Yu. M. Gorchakov


Publisher
Springer US
Year
1976
Tongue
English
Weight
266 KB
Volume
15
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES


Maximal Subgroups of Direct Products
✍ Jacques ThΓ©venaz πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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