@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.",
}