Computing normalisers of highly intransitive permutation groups

20 mins 18 secs,  37.14 MB,  MP3  44100 Hz,  249.78 kbits/sec
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Description: Chang, M
Thursday 30th January 2020 - 16:35 to 17:05
 
Created: 2020-01-30 16:59
Collection: Groups, representations and applications: new perspectives
Publisher: Isaac Newton Institute
Copyright: Chang, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: In general, there is no known polynomial-time algorithm for computing the normaliser NSn(H) of a given group H≤Sn. In this talk, we will consider the case when H is a subdirect product of permutation isomorphic non-abelian simple groups. In contrast to the case with abelian simple groups, where only practical improvements have been made, here we show that NSn(H) can be computed in polynomial time.
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