Some Braces of Cardinality p4 and Related Hopf-Galois Extensions

Dora Puljic; Agata Smoktunowicz; K. Nejabati  Zenouz

Some Braces of Cardinality p4 and Related Hopf-Galois Extensions

Dora Puljic, Agata Smoktunowicz, K. Nejabati Zenouz

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	494-522
Journal	New York Journal of Mathematics
Volume	28
Publication status	Published - 9 Mar 2022

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NewBracesofcardinalityp4V2Accepted author manuscript, 488 KB

Quantum integrability from set theoretic Yang-Baxter & reflection equations
Smoktunowicz, A. (Principal Investigator)
EPSRC
1/10/21 → 30/09/24
Project: Research
Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations
Gordon, I. (Principal Investigator), Bayer, A. (Co-investigator) & Smoktunowicz, A. (Co-investigator)
EPSRC
1/05/18 → 30/04/24
Project: Research

Cite this

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title = "Some Braces of Cardinality p4 and Related Hopf-Galois Extensions",

abstract = "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. ",

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AB - 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.

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JO - New York Journal of Mathematics

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Some Braces of Cardinality p4 and Related Hopf-Galois Extensions

Abstract

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Projects

Quantum integrability from set theoretic Yang-Baxter & reflection equations

Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations

Cite this