Bezushchak O. E.
Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space
Bezushchak O. E., Sushchanskii V. I.
Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1299-1308
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.
Conjugacy in isometry groups of generalized Baire metrics
Bezushchak O. E., Sushchanskii V. I.
Ukr. Mat. Zh. - 1991. - 43, № 9. - pp. 1148–1155
l-Wreath products and isometries of generalized Baire metrics
Bezushchak O. E., Sushchanskii V. I.
Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 1031–1038