MATH Seminar
| Title: Group presentations: history and recent results |
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| Seminar: Algebra and Number Theory |
| Speaker: William Kantor of University of Oregon |
| Contact: Skip Garibaldi, skip@mathcs.emory.edu |
| Date: 2013-01-30 at 3:00PM |
| Venue: W306 |
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| Abstract: Group presentations somewhat started with Hamilton. I'll review 19th century history before getting to a recent result: almost all finite simple groups have presentations requiring surprisingly few relations (with Guralnick, Kassabov and Lubotzky). For example, all alternating (and symmetric) groups have presentations using only 3 generators and 7 relations. The proofs are relatively elementary but too long for more than a few small hints. |
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