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Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes. / Vasil'ev, Andrey V.; Zieschang, Paul Hermann.

In: Journal of Algebra, Vol. 594, 15.03.2022, p. 733-750.

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

Harvard

Vasil'ev, AV & Zieschang, PH 2022, 'Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes', Journal of Algebra, vol. 594, pp. 733-750. https://doi.org/10.1016/j.jalgebra.2021.11.026

APA

Vasil'ev, A. V., & Zieschang, P. H. (2022). Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes. Journal of Algebra, 594, 733-750. https://doi.org/10.1016/j.jalgebra.2021.11.026

Vancouver

Vasil'ev AV, Zieschang PH. Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes. Journal of Algebra. 2022 Mar 15;594:733-750. doi: 10.1016/j.jalgebra.2021.11.026

Author

Vasil'ev, Andrey V. ; Zieschang, Paul Hermann. / Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes. In: Journal of Algebra. 2022 ; Vol. 594. pp. 733-750.

BibTeX

@article{7bad9621990641e99f27b75ef09abaca,
title = "Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes",
abstract = "Within the class of hypergroups (in the sense of [8]) we consider a specific class of hypergroups the members of which we call solvable. Our definition of solvable hypergroups generalizes the notion of a solvable group. We investigate solvable hypergroups and utilize our results to generalize Philip Hall's celebrated theorems on finite solvable groups to the theory of association schemes.",
keywords = "Association scheme, Group theory and generalizations, Hall's theorem, Hypergroup",
author = "Vasil'ev, {Andrey V.} and Zieschang, {Paul Hermann}",
note = "Funding Information: The work of the first author was supported by the Ministry of Science and Higher Education of the Russian Federation [grant number 075-15-2019-1613 ]. Both authors would like to thank an anonymous referee for insightful comments on the first submission of this article. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2022",
month = mar,
day = "15",
doi = "10.1016/j.jalgebra.2021.11.026",
language = "English",
volume = "594",
pages = "733--750",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Solvable hypergroups and a generalization of Hall's theorems on finite solvable groups to association schemes

AU - Vasil'ev, Andrey V.

AU - Zieschang, Paul Hermann

N1 - Funding Information: The work of the first author was supported by the Ministry of Science and Higher Education of the Russian Federation [grant number 075-15-2019-1613 ]. Both authors would like to thank an anonymous referee for insightful comments on the first submission of this article. Publisher Copyright: © 2021 Elsevier Inc.

PY - 2022/3/15

Y1 - 2022/3/15

N2 - Within the class of hypergroups (in the sense of [8]) we consider a specific class of hypergroups the members of which we call solvable. Our definition of solvable hypergroups generalizes the notion of a solvable group. We investigate solvable hypergroups and utilize our results to generalize Philip Hall's celebrated theorems on finite solvable groups to the theory of association schemes.

AB - Within the class of hypergroups (in the sense of [8]) we consider a specific class of hypergroups the members of which we call solvable. Our definition of solvable hypergroups generalizes the notion of a solvable group. We investigate solvable hypergroups and utilize our results to generalize Philip Hall's celebrated theorems on finite solvable groups to the theory of association schemes.

KW - Association scheme

KW - Group theory and generalizations

KW - Hall's theorem

KW - Hypergroup

UR - http://www.scopus.com/inward/record.url?scp=85121640108&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2021.11.026

DO - 10.1016/j.jalgebra.2021.11.026

M3 - Article

AN - SCOPUS:85121640108

VL - 594

SP - 733

EP - 750

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 35197301