Modular Group Algebras with Almost Maximal Lie Nilpotency Indices
✍ Scribed by Victor Bovdi; Tibor Juhász; Ernesto Spinelli
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 165 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1386-923X
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📜 SIMILAR VOLUMES
It is proved that if a locally nilpotent group \(G\) admits an almost regular automorphism of prime order \(p\) then \(G\) contains a nilpotent subgroup \(G_{1}\) such that \(\left|G: G_{1}\right| \leqslant f(p, m)\) and the class of nilpotency of \(G_{1} \leqslant g(p)\), where \(f\) is a function
According to Ado and Cm'tan Theorems, every Lie algebra of finite dimension can be represented as a Lie subalgebra of the Lie algebra associated with the general linear group of matrices. We show in this paper a method to obtain the simply connected Lie group associated with a nilpotent Lie algebra,
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