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Confined subgroups in periodic simple finitary linear groups

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Mainz, D-55099, Mainz, Germany

    Felix Leinen

  2. Dipartimento di Matematica “U. Dini”, Università di Firenze, Viale Morgagni 67A, I-50134, Firenze, Italy

    Orazio Puglisi

Authors
  1. Felix Leinen
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  2. Orazio Puglisi
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Dedicated to the memory of our friend and collaborator Richard E. Phillips

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Leinen, F., Puglisi, O. Confined subgroups in periodic simple finitary linear groups. Isr. J. Math. 128, 285–324 (2002). https://doi.org/10.1007/BF02785429

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  • DOI: https://doi.org/10.1007/BF02785429

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