@article{Bezushchak_Sushchanskii_2015, title={Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2067}, abstractNote={The notions of periodically defined and residual periodically defined linear transformations of an infinitedimensional vector space $V$ over the field $K$ are introduced. A group of all strictly residual periodically defined transformations and its subgroups of $u$-periodically defined transformations (where $u$ is a supernatural number) are investigated. A continual family of simple groups obtained as infinite-dimensional analogs of $PSL_n (K)$ is constructed.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bezushchak, O. E. and Sushchanskii, V. I.}, year={2015}, month={Oct.}, pages={1299-1308} }