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...
Main Authors: | , |
---|---|
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 |