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Finite groups in which the nonnormal subgroups have nontrivial intersection

✍ Scribed by Norman Blackburn

Publisher: Elsevier Science
Year: 1966
Tongue: English
Weight: 466 KB
Volume: 3
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(66)90018-4

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Sylow Subgroups Which Are Maximal in the

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✍ Marianna Dalle Molle 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 104 KB

For every prime p, we construct a subgroup of Philip Hall's universal locally finite group which is both maximal and a p-group. This provides an example of a simple locally finite group with a maximal subgroup which is locally nilpotent. ᮊ 1999 Academic Press G theme to a locally finite group G, fin