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Results tagged with lie-algebras
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user 19075
Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
3
votes
Accepted
Restricted Burnside Problem: Lower bound nilpotency class
For Questions 1, 2.
We know $c(d,2)=1$ for all $d$ and $c(1,3)=1$, $c(2,3)=2$ and $c(d,3)=3$ for all $d>2$.
So suppose if necessary $p\geq 5$.
Take $G(d,p)$ to be the unitiriangular matrices of size …
- 3,738
8
votes
1
answer
556
views
The parity of the full automorphism group order of finite non-abelian groups of prime exponent
Is there a finite non-abelian group $G$ of prime exponent such that the full automorphism group of $G$ is of odd order?
- 3,738
2
votes
Local vs global nilpotence class (Lazard correspondence)
This is not a complete answer (only gives the answer for p=2,3,5) but it is also too long to add as a comment!
Known results concerning similar questions as yours suggest that the nilpotency class of …
- 3,738