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Powerfully nilpotent groups of rank 2 or small order

In this paper, we continue the study of powerfully nilpotent groups. These are powerful p-groups possessing a central series of a special kind. To each such group, one can attach a powerful nilpotency class that leads...

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Hydrogen-transfer catalysis with Cp*Ir<sup>III</sup> complexes
Fourteen Cp*IrIII complexes, bearing various combinations of N- and C-spectator ligands, are assayed in hydrogen-transfer catalysis from isopropyl alcohol to acetophenone under various conditions to investigate ligand effects in...
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Hydrogen-transfer catalysis with Cp*Ir<sup>III</sup> complexes
Fourteen Cp*IrIII complexes, bearing various combinations of N- and C-spectator ligands, are assayed in hydrogen-transfer catalysis from isopropyl alcohol to acetophenone under various conditions to investigate ligand effects in...
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On the Hirsch-Plotkin radical of stability groups
Gunnar Traustason
Mar 01, 2015
We study the stability group of subspace series of infinite dimensional vector spaces. In [1], the authors proved that when the vector space has countable dimension then the Hirsch–Plotkin radical of the stability group...
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Normal right Engel subgroups of compact Hausdorff groups
Gunnar Traustason
Nov 15, 2014
Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.
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Symplectic alternating algebras
Gunnar Traustason
Jun 01, 2008
This paper begins the development of a theory of what we will call symplectic alternating algebras. They have arisen in the study of 2-Engel groups but seem also to be of interest in their own right. The main part of the paper...
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Normal right Engel subgroups of compact Hausdorff groups
Gunnar Traustason
Nov 15, 2014
Let G be a finitely generated compact Hausdorff topological group and let H be a closed normal subgroup consisting of right Engel elements. We show that H belongs to some term of the upper central series of G.
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Open problems from the conference “engel conditions in groups” held in bath, UK, 2019
Gunnar Traustason
Dec 31, 2020

Here is list of open problems from the conference Engel Type Conditions in Groups in Bath that was held in April 2019.

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Powerful 2-Engel groups II
Gunnar Traustason
Jan 01, 0001
We conclude our classification of powerful 2-Engel groups of class three that are minimal in the sense that every proper powerful section is nilpotent of class at most two. In the predecessor to this paper we obtained three...
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On triple homomorphisms of Lie algebras
Let L and K be two Lie algebras over a commutative ring with identity. In this paper, under some conditions on L and K, it is proved that every triple homomorphism from L onto K is the sum of a homomorphism and an...
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Symplectic alternating algebras
Gunnar Traustason
Jun 01, 2008
This paper begins the development of a theory of what we will call symplectic alternating algebras. They have arisen in the study of 2-Engel groups but seem also to be of interest in their own right. The main part of the paper...
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On the Hirsch-Plotkin radical of stability groups
Gunnar Traustason
Mar 01, 2015
We study the stability group of subspace series of infinite dimensional vector spaces. In [1], the authors proved that when the vector space has countable dimension then the Hirsch–Plotkin radical of the stability group...
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Powerful 2-Engel Groups
We study powerful 2-Engel groups. We show that every powerful 2-Engel group generated by three elements is nilpotent of class at most two. Surprisingly, the result does not hold when the number of generators is larger than...
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Powerfully nilpotent groups

We introduce a special class of powerful p-groups that we call powerfully nilpotent groups that are finite p-groups that possess a central series of a special kind. To these we can attach the notion of a powerful nilpotence...

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Symplectic alternating nil-algebras
In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008) [3]. We focus on nilpotency, solubility and nil-algebras. We show in particular that symplectic alternating...
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A note on conciseness of Engel words
It is still an open problem to determine whether the n-th Engel word [x,_n y] is concise, that is, if for every group G such that the set of values e_n(G) taken by [x,_n y] on G is finite it follows that the verbal subgroup...
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Open problems from the conference “engel conditions in groups” held in bath, UK, 2019
Gunnar Traustason
Dec 31, 2020

Here is list of open problems from the conference Engel Type Conditions in Groups in Bath that was held in April 2019.

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Neotelomere Formation by Telomerase in Human Cells
Charles Gunnar Kinzig
Jan 01, 0001
Telomeres define and protect the ends of linear chromosomes. Genome stability requires that cells differentiate telomeres from DNA double-strand breaks (DSBs), which humans accomplish with the shelterin complex. The reverse...
Published by: Rockefeller University
Nilpotent symplectic alternating algebras I
We develop a structure theory for nilpotent symplectic alternating algebras.
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Powerfully nilpotent groups of rank 2 or small order

In this paper, we continue the study of powerfully nilpotent groups. These are powerful p-groups possessing a central series of a special kind. To each such group, one can attach a powerful nilpotency class that leads...

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