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Chapter II studies groups of automorphisms of sets and vector spaces. In §1–§5, we develop the elementary principles of the theory of permutation groups. We restrict ourselves to a discussion of only the most fundamental concepts. For more information, the reader may consult Wielandt [477]. Theorems 3.2 and 3.7 play an important role in the theory of solvable groups. We will have considerably more to say about permutation groups in Volume 3 with the help of character theory.

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Permutation groups and linear groups

  • 章节

  • 发表日期：

    2025年

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  • Bertram Huppert

摘要

Chapter II studies groups of automorphisms of sets and vector spaces. In §1–§5, we develop the elementary principles of the theory of permutation groups. We restrict ourselves to a discussion of only the most fundamental concepts. For more information, the reader may consult Wielandt [477]. Theorems 3.2 and 3.7 play an important role in the theory of solvable groups. We will have considerably more to say about permutation groups in Volume 3 with the help of character theory.