INFLUENCE OF COMPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

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Malinowska Izabela Agata

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2021 | Volume:10 | Issue:2 Page(s): 65-74

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Information Journal Paper

Title

INFLUENCE OF COMPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

Author(s)

Malinowska Izabela Agata | Issue Writer Certificate

Keywords

Complemented subgroups

complemented groups

minimal non-complemented groups

nite groups

Abstract

P. Hall proved that a , nite group G is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of G is complemented in G. He called such groups complemented. A. Ballester-Bolinches and X. Guo established the structure of minimal non-complemented groups. We give the classi, cation of , nite non-soluble groups all of whose second maximal subgroups are complemented groups. We also prove that every , nite group with less than 21 non-complemented non-minimal f 2,3,5 g-subgroups is soluble.

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APA: Copy

Malinowska, Izabela Agata. (2021). INFLUENCE OF COMPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 10(2), 65-74. SID. https://sid.ir/paper/1004104/en

Vancouver: Copy

Malinowska Izabela Agata. INFLUENCE OF COMPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2021;10(2):65-74. Available from: https://sid.ir/paper/1004104/en

IEEE: Copy

Izabela Agata Malinowska, “INFLUENCE OF COMPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 10, no. 2, pp. 65–74, 2021, [Online]. Available: https://sid.ir/paper/1004104/en

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