𝔖 Bobbio Scriptorium
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Dimension subgroups of direct products

✍ Scribed by James M. Bateman


Book ID
112511868
Publisher
Springer
Year
1972
Tongue
English
Weight
94 KB
Volume
23
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Subgroups of direct products
✍ Yu. M. Gorchakov πŸ“‚ Article πŸ“… 1976 πŸ› Springer US 🌐 English βš– 266 KB
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