Abstract
Let G be a finite soluble group and h(G) its Fitting length. The aim of this paper is to give certain upper bounds for h(G) as functions of the Fitting length of at least three Hall subgroups of G which factorize G in a particular way.
Article PDF
Similar content being viewed by others
References
Amberg B., Franciosi S., de Giovanni F.: Products of groups, Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York (1992)
Casolo C., Jabara E., Spiga P.: On the Fitting height of factorised soluble groups. J. Group Theory 17, 911–924 (2014)
Feit W., Thompson J.G.: Solvability of groups of odd order. Pacific J. Math. 13, 775–1029 (1963)
Itô N.: Über das Produkt von zwei abelschen Gruppen. Math. Z. 62, 400–401 (1955)
Kegel O.H.: Zur Struktur mehrfach faktorisierter endlicher Gruppen. Math. Z. 87, 42–48 (1965)
Shamash J., Shult E.E.: On groups with cyclic Carter subgroups. J. Algebra 11, 564–597 (1969)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Busetto, G., Jabara, E. The Fitting length of finite soluble groups I Hall subgroups. Arch. Math. 106, 409–416 (2016). https://doi.org/10.1007/s00013-016-0895-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00013-016-0895-1