Infinite locally finite simple groups with many complemented subgroups

We prove that the following families of (infinite) groups have complemented subgroup lattice‎: ‎alternating groups‎, ‎finitary symmetric groups‎, ‎Suzuki groups over an infinite locally finite field of characteristic $2$‎, ‎Ree groups over an infinite locally finite field of characteristic~$3$‎. ‎We...

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Bibliographic Details
Main Authors: Maria Ferrara, Marco Trombetti
Format: Article
Language:English
Published: University of Isfahan 2022-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_25979_909f38f32bcf18578af90922d3cb37ba.pdf