A CONSTRUCTIVE PROOF OF BRAUER'S THEOREM ON INDUCED CHARACTERS IN THE GROUP RING R[G]

作者：Bogomolov Fedor^*; Greenleaf Frederick P

来源：Proceedings of the Edinburgh Mathematical Society, 2014, 57(1): 31-53.

DOI：10.1017/S0013091513000904

• Brauer theorem
• symmetric groups
• long cycles
• induced characters
• Young diagrams

We provide an alternative constructive proof of the classical Brauer theorem for finite groups based on the well-known description of the complex irreducible representations of the symmetric groups S-n. The theorem is first proved for S-n and then for general G by embedding in S-n and applying the Mackey subgroup theorem.

• 出版日期2014-2