The Socle of Automorphism Groups of Linear Spaces
نویسنده
چکیده
This note is part of a general programme to classify the automorphism groups of finite linear spaces. There have been a number of contributions to this programme, including two recent surveys [8, 3]. One of the most significant contributions was the classification of flag-transitive linear spaces [2]. Since then, the effort has been to classify the line-transitive examples. These fall naturally into two classes, those where the action on points is primitive, and those where the action on points is imprimitive. As a result of [9] it is known that the second occurs only finitely many times for a given line size. Two recent contributions to this problem have been [5] and [11]. In particular, we examine the socle of a point-primitive line-transitive automorphism group of a linear space. The main result is as follows.
منابع مشابه
The Socle of Automorphism Groups of Linear Spaces 1 ; 2 Mathematics Subject Classiication 20b25, 05b05
This note is part of a general programme to classify the automorphism groups of nite linear spaces. There have been a number of contributions to this programme including two recent surveys, 8, 3]. One of the most signiicant contributions was the classiication of ag-transitive linear spaces, 1]. Since then the eeort has been to classify the line-transitive examples. These fall naturally into two...
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