The Related Conclusions Of Camina Lie Superalgebras

In the 1970s,Camina introduced the concept of Camina pairs in group theory and studied it.Camina theory has played an important role in the study of groups,which has attracted extensive attention of scholars and has been extended to lie algebras.On the basis of Camina theory of Lie algebras,some related concepts are extended to Lie superalgebras,and examples of Camina pair,Camina Lie superalgebras and almost Camina lie superalgebras are given.Using the properties of Camina pairs,some properties of Camina Lie superalgebras are derived.Finally,examples of Camina Lie superalgebras with nilindex of 2 and 3 are given,and the properties of the two kinds of Lie superalgebras are discussed in combination with Frattini theory.