Geodesic
Finitary automorphisms of semisimple groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 312-315
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The structure of groups of finitary automorphisms of semisimple groups is investigated. In particular, it is shown that the group of finitary automorphisms of an arbitrary semisimple group has a faithful finitary permutation representation.
Keywords: finitary automorphism groups, finitary permutation groups, semisimple groups. 
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D. A. Shved. Finitary automorphisms of semisimple groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 312-315. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a27/

[1] Belyaev V. V., Shved D. A., “Finitarnye avtomorfizmy grupp”, Tr. In-ta matematiki i mekhaniki UrO RAN, 15, no. 2, 2009, 50–57

[2] Belyaev V. V., “Stroenie periodicheskikh grupp finitarnykh preobrazovanii”, Algebra i logika, 33:4 (1994), 531–551 | MR

[3] Phillips R. E., “Finitary linear groups: a survey”, Finite and Locally Finite Groups (Istanbul, 1994), NATO ASI Ser. Ser. C Math. Phys. Sci., 471, Kluwer Acad. Publ., Dordrecht, 1995, 111–147 | MR

[4] Kurosh A. G., Teoriya grupp, Nauka, M., 1967, 648 pp. | MR | Zbl