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arXiv · 2505.07330

Infinite simple groups with no proper abnormal subgroups

Samuel M. Corson
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Abstract

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.

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Samuel M. Corson. 2025-05-12. Infinite simple groups with no proper abnormal subgroups. https://arxiv.org/abs/2505.07330

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