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Normal structure spaces of groups

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Abstract

Can we do a topological study of various classes of normal subgroups endowed with a hull-kernel-type topology? In this paper, we have provided an answer to this question. We have introduced as well a new class of normal subgroups called primitive subgroups. Separation axioms, compactness, connectedness, and continuities of these spaces have been studied . We have concluded with the question of determining spectral spaces among them.

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Acknowledgements

The author would like to thank the anonymous referee for his/her careful reading and for several remarks that helped to improve the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Johannesburg, P.O. Box 524, Auckland Park 2006, Johannesburg, South Africa

    A. Goswami

  2. National Institute for Theoretical and Computational Sciences(NITheCS), Johannesburg, South Africa

    A. Goswami

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  1. A. Goswami
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Goswami, A. Normal structure spaces of groups. Rend. Circ. Mat. Palermo, II. Ser 72, 3697–3708 (2023). https://doi.org/10.1007/s12215-022-00855-3

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