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The \(\mathcal{C}_6\) subgroups of finite classical groups

谢贻林 Yilin Xie


Time: 16:00-18:00 (GMT+8), Tuesday March 8th, 2022
Location: Tencent Meeting

Abstract: A \(\mathcal{C}_6\) subgroup of a simple classical group is the normalizer of a symplectic-type \(r\)-group of minimal exponent (modulo scalars). We will first learn the structure of the symplectic-type \(r\)-groups and their automorphism groups. Then we learn the representation of these groups over \(\mathbb{C}\) and finite fields. Finally, we embed a symplectic-type \(r\)-group in a linear group \(G\) and find the structure of its normalizer (modulo scalar) in \(G\).

Host: 黄弘毅 Hong Yi Huang