Powerful \(3\)-Engel groups
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Publication:6198288
DOI10.1016/j.jpaa.2024.107650arXiv2301.07054OpenAlexW4392435109MaRDI QIDQ6198288
Marialaura Noce, Iker de las Heras, Gunnar Traustason
Publication date: 20 March 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.07054
Generalizations of solvable and nilpotent groups (20F19) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45)
Cites Work
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- Left 3-Engel elements in groups of exponent 5.
- Powerful 2-Engel groups. II.
- Characterization of \(p\)-adic analytic groups in terms of wreath products
- On almost fixed point free automorphisms
- A left 3-Engel element whose normal closure is not nilpotent
- Engelsche Elemente der Länge drei. (Engel elements of length three.)
- SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
- Powerful 2-Engel Groups
- Two-Generator conditions for Residually Finite Groups
- Left 3-Engel elements in groups of exponent 60
- On metabelian groups
- Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent