2017
Том 69
№ 7

All Issues

Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space

Bezushchak O. E., Sushchanskii V. I.


Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 10, pp 1457-1468.

Citation Example: Bezushchak O. E., Sushchanskii V. I. Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space // Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1299-1308.