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AUTOMORPHISM GROUPS OF THE IMPRIMITIVE COMPLEX REFLECTION GROUPS

Part of: Metric geometry Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  01 February 2009

JIAN-YI SHI  and
LI WANG
JIAN-YI SHI*
Affiliation:
Department of Mathematics, East China Normal University, Shanghai, 200241, PR China (email: jyshi11@yahoo.com)
LI WANG
Affiliation:
Mathematical and Science College, Shanghai Normal University, Shanghai, 200234, PR China (email: wl.ecnu@163.com)
*
✉For correspondance.
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Abstract

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We describe the group of all reflection-preserving automorphisms of an imprimitive complex reflection group. We also study some properties of this automorphism group.

Keywords

reflectionsimprimitive complex reflection groupsautomorphism groups

MSC classification

Secondary: 20F28: Automorphism groups of groups 20E36: Automorphisms of infinite groups 51F15: Reflection groups, reflection geometries
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 86 , Issue 1 , February 2009 , pp. 123 - 138
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

Supported by the NSF of China, the SFUDP of China, Sino-Germany Centre (GZ310), PCSIRT and Shanghai Leading Academic Discipline Project (BH07).

References

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