| On Certain Maximal Subgroups and the Automorphism Group of GLn(F) |
| Received:June 18, 1981 |
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| Abstract: |
| Let GLn(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 GLn(F) of the sub-spaces of V. On the basis of such a characterization, the automorphism group of GLn(F) is then determined through geometric consideration. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1984.03.006 |
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