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Fibonacci Lengths of Certain Nilpotent 2–Groups

✍ Scribed by H. Doostie; A. T. Adnani

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
142 KB
Volume
23
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES

Nilpotent groups of Hirsch length six
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✍ Gérard Endimioni 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 146 KB

Let G be a polycyclic group. We prove that if the nilpotent length of each finite quotient of G is bounded by a fixed integer n, then the nilpotent length of G is at most n. The case n s 1 is a well-known result of Hirsch. As a consequence, we obtain that if the nilpotent length of each 2-generator