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Finitely generated groups with polynomial index growth

✍ Scribed by Pyber, László; Segal, Dan


Book ID
118740420
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2007
Tongue
English
Weight
318 KB
Volume
2007
Category
Article
ISSN
0075-4102

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📜 SIMILAR VOLUMES


Finitely generated groups with polynomia
✍ Pyber, László; Segal, Dan 📂 Article 📅 2007 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 318 KB

We prove that a finitely generated soluble residually finite group has polynomial index growth if and only if it is a minimax group. We also show that if a finitely generated group with PIG is residually finite-soluble then it is a linear group. These results apply in particular to boundedly generat