Geodesic
On the definition of the small index property
Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 123-127.

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For countable infinite structures, two definitions of the small index property are known. One of them contains the words "at most $\omega$" while the other reads "less than $2^\omega$". In the present article, we explain in what sense there is no big difference between the two definitions and suggest a generalization to arbitrary infinite structures. 
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K. Zh. Kudaǐbergenov. On the definition of the small index property. Matematičeskie trudy, Tome 17 (2014) no. 1, pp. 123-127. http://geodesic.mathdoc.fr/item/MT_2014_17_1_a4/

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