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Groups whose proper subgroups are Baer groups

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Abstract

In this paper we classify infinite soluble minimal non-nilpotent-groups, detemine the basic structure of infinite soluble minimal non-Baer-groups, and using famed Heineken-Mohamed-groups we construct an example of minimal non-Baer-group which is not minimal non-nilpotent-group.

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Authors and Affiliations

  1. Teaching Group in Mathematics, Guangdong Mechanical College, 510643, Guangzhou, China

    Xu Maoqian

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  1. Xu Maoqian
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The author would like to thank Chen Zhangmu and Shi Wuje for narm help and useful advice.

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Maoqian, X. Groups whose proper subgroups are Baer groups. Acta Mathematica Sinica 12, 10–17 (1996). https://doi.org/10.1007/BF02109386

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  • DOI: https://doi.org/10.1007/BF02109386

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