paper

Infinite simple groups with no proper abnormal subgroups

arXiv:2505.07330

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.

Infinite simple groups with no proper abnormal subgroups · wovepaper