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Bibliographic Details
Main Author: Hulpke, Alexander
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.06218
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Table of Contents:
  • We describe a generalization of the concept of a pc presentation that applies to groups with a nontrivial solvable radical. Such a representation can be much more efficient in terms of memory use and even of arithmetic, than permuattion and matrix representations. We illustrate the use of such representations by constructing a maximal subgroup of the sporadic monster group and calculating its -- hitherto unknown -- character table.