关于全线性群的极大子群和自同构

On Certain Maximal Subgroups and the Automorphism Group of GLn(F)

中文摘要:

      

英文摘要:

      Let GL_n(F) be the group of all non-singular linear transformations acting on the n-dimensional vector space V over the ground field F- We give in the present paper a group-theorectic characterization of the stabilizers in GL_n(F) of the sub-spaces of V. On the basis of such a characterization, the automorphism group of GL_n(F) is then determined through geometric consideration.