Nilpotent Symplectic Alternating Algebras

Dissertation, University of Bath (2015)
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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 F. 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
Southern Illinois University - Carbondale

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