Geodesic
On a Question of Ross and Stromberg
Hatem Hamrouni1
1Dept. of Mathematics, Faculty of Sciences at Sfax, Sfax University, B.P. 1171, 3000 Sfax, Tunisia
Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 889-901

Voir la notice de l'article provenant de la source Heldermann Verlag

A topological group G is called an [AFG]-group if G contains an increasing sequence of finite subgroups having a dense union. In this paper it is proved that the identity component G0 of a locally compact [AFG]-group G is a pro-torus. This partially answers an old open question posed by K. A. Ross and K. Stromberg [Pacific J. Math. 20 (1967) 135--147]. Other results included in this paper give a necessary and sufficient condition for an almost connected Lie group to be an [AFG]-group.
Classification : 22D05
Mots-clés : Locally compact group, Lie group, pro-Lie group, pro-torus, compact element, projective limit, Chabauty topology

Hatem Hamrouni  1

1 Dept. of Mathematics, Faculty of Sciences at Sfax, Sfax University, B.P. 1171, 3000 Sfax, Tunisia 
Hatem Hamrouni. On a Question of Ross and Stromberg. Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 889-901. http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a12/
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