A question of Mazurov on groups of exponent dividing 12

Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations [Image: see text] has order at most 12. We show that if such a group is finite, then the answer is yes.

Detalles Bibliográficos
Autores principales: Anabanti, Chimere Stanley, Hart, Sarah Beatrice, Slattery, Michael C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7872204/
https://www.ncbi.nlm.nih.gov/pubmed/33633501
http://dx.doi.org/10.1080/00927872.2020.1788569
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author Anabanti, Chimere Stanley
Hart, Sarah Beatrice
Slattery, Michael C.
author_facet Anabanti, Chimere Stanley
Hart, Sarah Beatrice
Slattery, Michael C.
author_sort Anabanti, Chimere Stanley
collection PubMed
description Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations [Image: see text] has order at most 12. We show that if such a group is finite, then the answer is yes.
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spelling pubmed-78722042021-02-23 A question of Mazurov on groups of exponent dividing 12 Anabanti, Chimere Stanley Hart, Sarah Beatrice Slattery, Michael C. Commun Algebra Article Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations [Image: see text] has order at most 12. We show that if such a group is finite, then the answer is yes. Taylor & Francis 2020-07-08 /pmc/articles/PMC7872204/ /pubmed/33633501 http://dx.doi.org/10.1080/00927872.2020.1788569 Text en © 2020 Austrian Science Fund (FWF). Published with license by Taylor & Francis Group, LLC. https://creativecommons.org/licenses/by/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Article
Anabanti, Chimere Stanley
Hart, Sarah Beatrice
Slattery, Michael C.
A question of Mazurov on groups of exponent dividing 12
title A question of Mazurov on groups of exponent dividing 12
title_full A question of Mazurov on groups of exponent dividing 12
title_fullStr A question of Mazurov on groups of exponent dividing 12
title_full_unstemmed A question of Mazurov on groups of exponent dividing 12
title_short A question of Mazurov on groups of exponent dividing 12
title_sort question of mazurov on groups of exponent dividing 12
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7872204/
https://www.ncbi.nlm.nih.gov/pubmed/33633501
http://dx.doi.org/10.1080/00927872.2020.1788569
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