Some Braces of Cardinality p4 and Related Hopf-Galois Extensions

Dora Puljic, Agata Smoktunowicz, K. Nejabati Zenouz

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We describe all Fp-braces of cardinality p4 which are not right nilpotent. Our solution illustrates a general way of investigating Fp-braces of cardinality pn with a given multiplicative group. The constructed braces are left nilpotent, solvable and prime, and they also contain a non-zero strongly nilpotent ideal.
Original languageEnglish
Number of pages29
JournalNew York Journal of Mathematics
Publication statusAccepted/In press - 17 Feb 2022

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