6533b872fe1ef96bd12d420a
RESEARCH PRODUCT
Confined subgroups in periodic simple finitary linear groups
Felix LeinenOrazio Puglisisubject
AlgebraSimple (abstract algebra)Locally finite groupGeneral MathematicsExistential quantificationFinitaryGroup algebraAlgebra over a fieldMathematicsdescription
A subgroupX of the locally finite groupG is said to beconfined, if there exists a finite subgroupF≤G such thatX g∩F≠1 for allg∈G. Since there seems to be a certain correspondence between proper confined subgroups inG and non-trivial ideals in the complex group algebra ℂG, we determine the confined subgroups of periodic simple finitary linear groups in this paper.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-12-01 | Israel Journal of Mathematics |