# Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

# Paper accepted by Monatshefte für Mathematik

Congratulations to our PhD student Valentina Iusa on her first paper being accepted for publication in Monatshefte für Mathematik!

Valentina’s paper, which bears the title “On the nilpotency class of some Lie algebras with a Frobenius group of automorphisms,” provides examples to show that a certain plausible bound on the nilpotency class of Lie algebras as in the title cannot exist.

Abstract: We construct a family $\mathcal{L}$ of nilpotent Lie algebras, where each Lie algebra admits a metacyclic Frobenius group of automorphisms such that the fixed-point subalgebra of the kernel is trivial and the fixed-point subalgebra of the complement is abelian. We prove that the nilpotency class of Lie algebras belonging to this family is unbounded. Specifically, for every natural number $n$ there exists a Lie algebra in $\mathcal{L}$ with nilpotency class at least $n$.

### 3 comments on “Paper accepted by Monatshefte für Mathematik”

1. Waqar
July 21, 2018

Well done and deserved achievement.

Like

2. Evgeny Khukhro
July 28, 2018

Congratulations!

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3. acletutor
August 16, 2018

Congratulations Valentina

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This entry was posted on July 21, 2018 by in New publications, News and announcements, research.