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Every p-algebra of degree p-squared is a crossed product
Version 3
(Latest)
July 02, 2026 18:25
Every p-algebra of degree p-squared is a crossed product
Let \(F\) be a field of characteristic \(p > 0\). We resolve Problem~2.2 of Auel--Brussel--Garibaldi--Vishne: every \(p\)-algebra of degree~\(p^2\) over \(F\) is a crossed product.
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Version 2
July 02, 2026 17:50
Every p-algebra of degree p-squared is a crossed product
Let \(F\) be a field of characteristic \(p > 0\). We resolve Problem~2.2 of Auel--Brussel--Garibaldi--Vishne: every \(p\)-algebra of degree~\(p^2\) over \(F\) is a crossed product.
Version Notes: before submission.
✓ Reviewed
Version 1
July 01, 2026 21:20
Every p-algebra of degree p-squared is a crossed product
Let \(F\) be a field of characteristic \(p > 0\). We resolve Problem~2.2 of Auel--Brussel--Garibaldi--Vishne: every \(p\)-algebra of degree~\(p^2\) over \(F\) is a crossed product. The proof splits according to …
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