Algorithmic problems in Engel groups and cryptographic applications

Marialaura Noce; Delaram Kahrobaei

doi:10.22108/IJGT.2020.119123.1574

Algorithmic problems in Engel groups and cryptographic applications

Marialaura Noce, Delaram Kahrobaei

Department of Mathematical Sciences

City University of New York

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

3 Citations (SciVal)

Abstract

The theory of Engel groups plays an important role in group theory since these groups are closely related to the Burnside problems. In this survey we consider several classical and novel algorithmic problems for Engel groups and propose several open problems. We study these problems with a view towards applications to cryptography.

Original language	English
Pages (from-to)	231-250
Number of pages	20
Journal	International Journal of Group Theory
Volume	9
Issue number	4
DOIs	https://doi.org/10.22108/IJGT.2020.119123.1574
Publication status	Published - 31 Dec 2020

Keywords

Algorithmic problems
Cryptography
Engel elements

ASJC Scopus subject areas

Algebra and Number Theory

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10.22108/IJGT.2020.119123.1574

Cite this

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title = "Algorithmic problems in Engel groups and cryptographic applications",

abstract = "The theory of Engel groups plays an important role in group theory since these groups are closely related to the Burnside problems. In this survey we consider several classical and novel algorithmic problems for Engel groups and propose several open problems. We study these problems with a view towards applications to cryptography.",

keywords = "Algorithmic problems, Cryptography, Engel elements",

author = "Marialaura Noce and Delaram Kahrobaei",

year = "2020",

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AU - Kahrobaei, Delaram

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AB - The theory of Engel groups plays an important role in group theory since these groups are closely related to the Burnside problems. In this survey we consider several classical and novel algorithmic problems for Engel groups and propose several open problems. We study these problems with a view towards applications to cryptography.

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DO - 10.22108/IJGT.2020.119123.1574

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JO - International Journal of Group Theory

JF - International Journal of Group Theory

IS - 4

ER -

Algorithmic problems in Engel groups and cryptographic applications

Abstract

Keywords

ASJC Scopus subject areas

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