1 citations · 2 across the 6 of their papers we have counts for
8 papers
On the class-breadth conjecture for -groups
Alexander Skutin
The class-breadth conjecture of Leedham-Green, Neumann and Wiegold states that the nilpotency class of any -group is at most , where $\displaystyle{b(G) = \max_{g\in G…
On the class-breadth conjecture
Alexander Skutin
The class-breadth conjecture of Leedham-Green, Neumann and Wiegold states that for each -group, , where , denote the nilpotency class and the b…
Automated Generation of Triangle Geometry Theorems
Alexander Skutin
In this article, we introduce an algorithm for automatic generation and categorization of triangle geometry theorems.
Maximal Lie subalgebras of locally nilpotent derivations
Alexander Skutin
It has been conjectured by Gene Freudenburg that for a polynomial ring, the triangular Lie algebra is the maximal Lie algebra which lies in the set of locally nilpotent derivations…
Cosmology of Plane Geometry
Alexander Skutin
This paper focuses on a new approach to plane geometry and develops important concepts that can allow researchers to unite and observe plane geometry from a new, meaningful perspec…
Proof of a Conjecture of Wiegold for nilpotent Lie algebras
Alexander Skutin
In this short note we confirm an analog of a conjecture of James Wiegold for finite dimensional nilpotent Lie algebras.
Proof of a Conjecture of Wiegold
Alexander Skutin
In this short note we confirm a conjecture of James Wiegold. We prove that if is a finite -group and for some non-negative integer , then the group $G…
Some new theorems in plane geometry
Alexander Skutin
In this article we will represent some ideas and a lot of new theorems in Euclidean plane geometry.