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<p>Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups also provide a negative answer to a question highlighted by Kurdachenko, Russo, and Vincenzi.</p>

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Infinite simple groups with no proper abnormal subgroups

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Samuel M. Corson

摘要

Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups also provide a negative answer to a question highlighted by Kurdachenko, Russo, and Vincenzi.