A question of Mazurov on groups of exponent dividing 12

Chimere Stanley Anabanti; Sarah Beatrice Hart; Michael C. Slattery

doi:10.1080/00927872.2020.1788569

A question of Mazurov on groups of exponent dividing 12

Chimere Stanley Anabanti^*, Sarah Beatrice Hart, Michael C. Slattery

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

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

Abstract

Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations (Formula presented.) has order at most 12. We show that if such a group is finite, then the answer is yes.

Original language	English
Pages (from-to)	5372-5373
Number of pages	2
Journal	Communications in Algebra
Volume	48
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2020.1788569
Publication status	Published - 8 Jul 2020

Keywords

Exponent
finite presentation
groups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2020.1788569Licence: CC BY 4.0

Cite this

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title = "A question of Mazurov on groups of exponent dividing 12",

abstract = "Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations (Formula presented.) has order at most 12. We show that if such a group is finite, then the answer is yes.",

keywords = "Exponent, finite presentation, groups",

author = "Anabanti, {Chimere Stanley} and Hart, {Sarah Beatrice} and Slattery, {Michael C.}",

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AB - Mazurov asked whether a group of exponent dividing 12, which is generated by x, y and z subject to the relations (Formula presented.) has order at most 12. We show that if such a group is finite, then the answer is yes.

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KW - groups

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DO - 10.1080/00927872.2020.1788569

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 12

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A question of Mazurov on groups of exponent dividing 12

Abstract

Keywords

ASJC Scopus subject areas

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