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SEMINAR: Groups and Combinatorics Seminar, Recognising the Symmetric and Alternating Squares

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Today's date is Monday, September 21, 2020
Groups and Combinatorics Seminar, Recognising the Symmetric and Alternating Squares Other events...
Abstract:

The fundamental goal of Computational Group Theory is recognition: given a group somehow represented in a computer (usually by generators), determine any information about the group that you can, as quickly as possible. This is `easy' if we have enough time and memory to write the group in its entirety, but when the group is input as a generating set of matrices, this is impractical. We are explorers in an unknown land, attempting to determine the global structure of our setting from limited, local information.

The Matrix Group Recognition Project provides a recursive framework for full recognition of an arbitrary input group, by searching for a normal subgroup $N$ of $G$ and dealing with $N$ and $G/N$ separately. We present a recognition algorithm for some of the `base cases' of this recursion process, namely certain irreducible representations of a classical group, for which general methods are least effective and specialised algorithms are needed for efficiency.
Speaker(s) Brian Corr (UWA)
Location Blakers Lecture Theatre
Contact Irene Pivotto <[email protected]>
Start Fri, 14 Jun 2013 15:00
End Fri, 14 Jun 2013 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Tue, 11 Jun 2013 09:03
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