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Minimal 3-generated Majorana algebras. / Mamontov, Andrey; Staroletov, Alexey; Whybrow, Madeleine.

In: Journal of Algebra, Vol. 524, 15.04.2019, p. 367-394.

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

Harvard

Mamontov, A, Staroletov, A & Whybrow, M 2019, 'Minimal 3-generated Majorana algebras', Journal of Algebra, vol. 524, pp. 367-394. https://doi.org/10.1016/j.jalgebra.2019.01.009

APA

Mamontov, A., Staroletov, A., & Whybrow, M. (2019). Minimal 3-generated Majorana algebras. Journal of Algebra, 524, 367-394. https://doi.org/10.1016/j.jalgebra.2019.01.009

Vancouver

Mamontov A, Staroletov A, Whybrow M. Minimal 3-generated Majorana algebras. Journal of Algebra. 2019 Apr 15;524:367-394. doi: 10.1016/j.jalgebra.2019.01.009

Author

Mamontov, Andrey ; Staroletov, Alexey ; Whybrow, Madeleine. / Minimal 3-generated Majorana algebras. In: Journal of Algebra. 2019 ; Vol. 524. pp. 367-394.

BibTeX

@article{9500efaa734942efb4c8879f59a9fcdc,
title = "Minimal 3-generated Majorana algebras",
abstract = "Majorana theory was introduced by A.A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to be a remarkable tool with which to study objects related to the Griess algebra and the Monster simple group. We introduce the definition of a minimal 3-generated Majorana algebra and begin the first steps towards classifying such algebras. In particular, we give a complete classification of finite minimal 3-generated 6-transposition groups. We then use an algorithm developed in GAP by M. Pfeiffer and M. Whybrow, together with some additional computational tools, to give an almost complete description of all minimal 3-generated Majorana algebras arising from this list of groups.",
keywords = "Groups generated by involutions, Majorana and axial algebras",
author = "Andrey Mamontov and Alexey Staroletov and Madeleine Whybrow",
year = "2019",
month = apr,
day = "15",
doi = "10.1016/j.jalgebra.2019.01.009",
language = "English",
volume = "524",
pages = "367--394",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Minimal 3-generated Majorana algebras

AU - Mamontov, Andrey

AU - Staroletov, Alexey

AU - Whybrow, Madeleine

PY - 2019/4/15

Y1 - 2019/4/15

N2 - Majorana theory was introduced by A.A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to be a remarkable tool with which to study objects related to the Griess algebra and the Monster simple group. We introduce the definition of a minimal 3-generated Majorana algebra and begin the first steps towards classifying such algebras. In particular, we give a complete classification of finite minimal 3-generated 6-transposition groups. We then use an algorithm developed in GAP by M. Pfeiffer and M. Whybrow, together with some additional computational tools, to give an almost complete description of all minimal 3-generated Majorana algebras arising from this list of groups.

AB - Majorana theory was introduced by A.A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to be a remarkable tool with which to study objects related to the Griess algebra and the Monster simple group. We introduce the definition of a minimal 3-generated Majorana algebra and begin the first steps towards classifying such algebras. In particular, we give a complete classification of finite minimal 3-generated 6-transposition groups. We then use an algorithm developed in GAP by M. Pfeiffer and M. Whybrow, together with some additional computational tools, to give an almost complete description of all minimal 3-generated Majorana algebras arising from this list of groups.

KW - Groups generated by involutions

KW - Majorana and axial algebras

UR - http://www.scopus.com/inward/record.url?scp=85060313459&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2019.01.009

DO - 10.1016/j.jalgebra.2019.01.009

M3 - Article

AN - SCOPUS:85060313459

VL - 524

SP - 367

EP - 394

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 18291417