Locally Finite Simple Groups of 1-Type

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of “block-diagonal embeddings” for groups of alternating type. We show that the groups of 1-type are exactly the groups which have an alternating Kegel cover with block diagonal embeddings.