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On {2, 3}-groups without elements of order 6

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Abstract

We describe {2, 3}-groups in which the order of a product of every two elements of orders at most 4 does not exceed 9 and the centralizer of every involution is a locally cyclic 2-subgroup. In particular, we will prove that these groups are locally finite.

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References

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Correspondence to E. Jabara.

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Original Russian Text Copyright © 2016 Jabara E.

Venezia. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 4, pp. 941–954, July–August, 2016; DOI: 10.17377/smzh.2016.57.416. Original article submitted August 17, 2015.

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Jabara, E. On {2, 3}-groups without elements of order 6. Sib Math J 57, 744–746 (2016). https://doi.org/10.1134/S0037446616040169

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  • DOI: https://doi.org/10.1134/S0037446616040169

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