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Dimension subgroups of semi-direct products

✍ Scribed by Robert J. Valenza


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
229 KB
Volume
18
Category
Article
ISSN
0022-4049

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Maximal Subgroups of Direct Products
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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

Hopf Algebra Extensions Arising from Sem
✍ Mitja Mastnak πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 165 KB

The aim of this paper is to study Hopf algebra extensions arising from semi-direct products of groups in terms of group cohomology. This enables us to compute and describe explicitly some groups of Hopf algebra extensions.