Geodesic
Periodic simple groups of finitary linear transformations
Jonathan I. Hall1
1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
Annals of mathematics, Tome 163 (2006) no. 2, pp. 445-498.

Voir la notice de l'article provenant de la source Annals of Mathematics website

A group is locally finite if every finite subset generates a finite subgroup. A group of linear transformations is finitary if each element minus the identity is an endomorphism of finite rank. The classification and structure theory for locally finite simple groups splits naturally into two cases—those groups that can be faithfully represented as groups of finitary linear transformations and those groups that are not finitary linear. This paper completes the finitary case. We classify up to isomorphism those infinite, locally finite, simple groups that are finitary linear but not linear.
DOI : 10.4007/annals.2006.163.445

Jonathan I. Hall 1

1 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States 
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Jonathan I. Hall. Periodic simple groups of finitary linear transformations. Annals of mathematics, Tome 163 (2006) no. 2, pp. 445-498. doi : 10.4007/annals.2006.163.445. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.163.445/

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