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Maximal nonparabolic subgroups of the modular group

✍ Scribed by J. L. Brenner; R. C. Lyndon

Publisher: Springer
Year: 1983
Tongue: English
Weight: 562 KB
Volume: 263
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01457079

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📜 SIMILAR VOLUMES

Nonparabolic subgroups of the modular gr

Nonparabolic subgroups of the modular group

✍ J.L Brenner; R.C Lyndon 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 597 KB

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Generating Finite Groups with Maximal Subgroups of Maximal Subgroups

✍ P. Flavell 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 475 KB

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Normalisers of Subgroups of the Modular Group

✍ Mong Lung Lang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Let G be a subgroup of finite index of the modular group and let N G be the normaliser of G in PSL 2 . In this article, we give an algorithm that determines N G .

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Maximal subgroups of the Harada-Norton group

✍ S.P. Norton; R.A. Wilson 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 876 KB

The maximal subgroups of the O'Nan group

✍ Robert A Wilson 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 368 KB

Maximal Subgroups of Symmetric Groups

✍ Martin W. Liebeck; Aner Shalev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 348 KB

We show that S n has at most n 6Â11+o(1) conjugacy classes of primitive maximal subgroups. This improves an n c log 3 n bound given by Babai. We conclude that the number of conjugacy classes of maximal subgroups of S n is of the form ( 12 +o(1))n. It also follows that, for large n, S n has less than