Bogomolov Multiplier and Isoclinism of Lie Rings

Abstract

‎In the present paper it is shown that Bogomolov multipliers of isoclinic Lie rings are isomorphic‎. ‎Also‎, ‎we show that isoclinic finite Lie rings have isoclinic CP covers‎. ‎Finally‎, ‎it is proved that if $CE_1$ and $CE_2$ are central extensions which are isoclinic‎, ‎then $CE_2$ is a CP extension if $CE_1$ is so‎.

Keywords

• isoclinism‎
• ‎curly exterior product‎
• ‎${\tilde{b_0}}$-pairing‎
• ‎bogomolov multiplier‎
• ‎cp extension