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Information Journal Paper

Title

TOPOLOGICAL LOOPS WITH SOLVABLE MULTIPLICATION GROUPS OF DIMENSION AT MOST SIX ARE CENTRALLY NILPOTENT

Pages

  81-91

Abstract

 The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops L of dimension  3 which have an at most six-dimensional solvable indecomposable Lie group as their multiplication group. This theorem is obtained from our previous classification by the investigation of six-dimensional indecomposable solvable multiplication Lie groups having a five-dimensional nilradical. We determine the Lie algebras of these multiplication groups and the subalgebras of the corresponding inner mapping groups.

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    APA: Copy

    Figula, Agota, & Al Abayechi, Ameer. (2020). TOPOLOGICAL LOOPS WITH SOLVABLE MULTIPLICATION GROUPS OF DIMENSION AT MOST SIX ARE CENTRALLY NILPOTENT. INTERNATIONAL JOURNAL OF GROUP THEORY, 9(2), 81-91. SID. https://sid.ir/paper/743463/en

    Vancouver: Copy

    Figula Agota, Al Abayechi Ameer. TOPOLOGICAL LOOPS WITH SOLVABLE MULTIPLICATION GROUPS OF DIMENSION AT MOST SIX ARE CENTRALLY NILPOTENT. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2020;9(2):81-91. Available from: https://sid.ir/paper/743463/en

    IEEE: Copy

    Agota Figula, and Ameer Al Abayechi, “TOPOLOGICAL LOOPS WITH SOLVABLE MULTIPLICATION GROUPS OF DIMENSION AT MOST SIX ARE CENTRALLY NILPOTENT,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 9, no. 2, pp. 81–91, 2020, [Online]. Available: https://sid.ir/paper/743463/en

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