@article{44066514fb2b4622a9741bedd3d8b164,
title = "(2, 3)-Generated Groups with Small Element Orders",
abstract = "A periodic group is called an OCn-group if the set of its element orders consists of all natural numbers from 1 to some natural n. W. Shi posed the question whether every OCn-group is locally finite. Until now, the case n = 8 remains open. Here we prove that if a group is generated by an involution and an element of order 3, and its element orders do not exceed 8, then it is finite. Thereby we obtain an affirmative answer to Shi{\textquoteright}s question for n = 8 for (2, 3)-generated groups.",
keywords = "(2, 3)-generated group, involution, locally finite group, OC-group",
author = "N. Yang and Mamontov, {A. S.}",
note = "Funding Information: Supported by NNSF of China, grant No. 11301227. Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = jul,
doi = "10.1007/s10469-021-09644-w",
language = "English",
volume = "60",
pages = "217--222",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "3",
}