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In this chapter we give a complete description of conjugacy classes and centralizers in the general and special linear groups. Although the theory for this case is well known, we make a new contribution: an explicit generating set for the centralizer of an arbitrary element.

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General and Special Linear Groups

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  • 发表日期：

    2025年

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  • Giovanni De Franceschi,
  • Martin W. Liebeck,
  • Eamonn A. O’Brien

摘要

In this chapter we give a complete description of conjugacy classes and centralizers in the general and special linear groups. Although the theory for this case is well known, we make a new contribution: an explicit generating set for the centralizer of an arbitrary element.