ISOCLINISM AND SCHUR MULTIPLIER

Hall (1940) introduced the notation of isoclinism on the class of all groups which forms an equivalence relation. Isoclinism is an equivalence relation on groups that is broader than isomorphism, that is, any two isoclinic groups may not be isomorphic. The concept of isoclinism help classify and understand p-groups with p-order that p is odd number. Isoclinism also has vital concequence for the Schur multiplier and the associated aspects of character theory, as described Suzuki (1982) and Conway(1985). In 1993 Moneyhun introduced isoclinism on Lie algebra. We study the connection between isoclinism and Lie subalgebra of the schur multiplicators and some properties of it and prove some important theorem and we get to some usefull corollaries.