Computing automorphisms of finite soluble groups

نویسنده

  • Michael J. Smith
چکیده

There is a large collection of e ective algorithms for computing information about nite soluble groups. The success in computation with these groups is primarily due to a computationally convenient representation of them by means of (special forms of) power conjugate presentations. A notable omission from this collection of algorithms is an e ective algorithm for computing the automorphism group of a nite soluble group. An algorithm designed for nite groups in general provides only a partial answer to this de ciency. In this thesis an e ective algorithm for computing the automorphism group of a nite soluble group is described. An implementation of this algorithm has proved to be a substantial improvement over existing techniques available for nite soluble groups. iv Table of contents

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تاریخ انتشار 1994