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SEMINAR: Groups and Combinatorics Seminar: Reflection subgroups of unitary reflection groups

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Today's date is Wednesday, January 27, 2021
Groups and Combinatorics Seminar: Reflection subgroups of unitary reflection groups Other events...
Time and place: 16:00 Friday 19 August in Weatherburn LT

Speaker: Don Taylor (The University of Sydney)

Title: Reflection subgroups of unitary reflection groups

Abstract: The usual notion of a reflection in Euclidean space has a natural analogue in vector spaces over the complex numbers. In this talk I will give a brief introduction to finite groups generated by complex (i.e., unitary) reflections and report on some results characterising reflection subgroups and their normalisers. An imprimitive unitary reflection group is a normal subgroup of the group of m-th roots of unity by a symmetric group. For these groups there are uniform methods of proof. However, for 15 exceptional (primitive) groups I resort to calculations using the Magma computation algebra system.
Contact Tomasz Popiel <[email protected]>
Start Mon, 15 Aug 2016 16:00
End Mon, 15 Aug 2016 17:00
Submitted by Tomasz Popiel <[email protected]>
Last Updated Mon, 22 Aug 2016 09:09
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