%0 Journal Article %T On Kaluzhnin - Krasner's embedding of groups %A A. Yu. Olshanskii %J Mathematics %D 2015 %I arXiv %X In this note, we consider a 'thrifty' version of Kaluzhnin - Krasner's embedding in wreath products and apply it to extensions by finite groups and to metabelian groups. %U http://arxiv.org/abs/1502.07052v1