Automorphism Groups of the Imprimitive Complex Reflection Groups II

作者：Wang, Li^*

来源：Algebra Colloquium, 2011, 18(2): 315-326.

DOI：10.1142/S1005386711000216

• imprimitive complex reflection group
• automorphism group
• conjugacy class

We prove that the automorphism group Aut(m, p, n) of an imprimitive complex reflection group G(m, p, n) is the product of a normal subgroup T(m, p, n) by a subgroup R(m, p, n), where R(m, p, n) is the group of automorphisms that preserve reflections and T(m, p, n) consists of automorphisms that map every element of G(m, p, n) to a scalar multiple of itself.

• 出版日期2011-6
• 单位上海师范大学