TY - JOUR AU - O. E. Bezushchak AU - V. I. Sushchanskii PY - 2015/10/25 Y2 - 2024/03/29 TI - Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 67 IS - 10 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2067 AB - 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. ER -