\(p\)-nilpotency criteria for some verbal subgroups
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Publication:2168845
DOI10.1016/j.jalgebra.2022.07.017zbMath1498.20043arXiv2105.14474OpenAlexW4288736432MaRDI QIDQ2168845
Valentina Grazian, Yerko Contreras-Rojas, Carmine Monetta
Publication date: 26 August 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.14474
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14)
Cites Work
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- On the centralizers of involutions in finite groups. II
- Commutators in finite quasisimple groups
- Coprime commutators in finite groups
- A NILPOTENCY CRITERION FOR SOME VERBAL SUBGROUPS
- Prime divisors of orders of products
- Order of products of elements in finite groups
- Existence of normal Hall subgroups by means of orders of products
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