May 23, 2024Open Access

Nilpotent Symplectic Alternating Algebras

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Abstract

We develop a structure theory for nilpotent symplectic alternating algebras. We then give a classification of all nilpotent symplectic alternating algebras of dimension up to 10 over any field. The study reveals a new subclasses of powerful groups that we call powerfully nilpotent groups and powerfully soluble groups.

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Layla Sorkatti (Thu,) studied this question.

synapsesocial.com/papers/68e68bffb6db643587613ee7 https://doi.org/https://doi.org/10.48550/arxiv.2405.15091

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