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arxiv: 1810.12391 · v1 · pith:YMTIZE75new · submitted 2018-10-29 · 🧮 math.RT

Algebras with irreducible module varieties III: Birkhoff varieties

classification 🧮 math.RT
keywords varietiesbirkhoffirreducibleabelianaffinealgebrasarisingasking
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We study a family of affine varieties arising from a version of an old problem due to Birkhoff asking for the classification of embeddings of finite abelian p-groups. We show that all of these varieties are irreducible and have a dense orbit.

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