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Affine Kac-Moody groups : bounded presentations and subgroup growth
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Kirkina, Karina (2018) Affine Kac-Moody groups : bounded presentations and subgroup growth. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3228204~S15
Abstract
This thesis studies affine Kac-Moody groups G(q) defined over a finite field Fq, where q is a power of a prime p, and the related Chevalley groups G(Fp([[t]]). The groups e G(q) are finitely presented but their standard presentation is infinite. In the first half of the thesis we construct bounded presentations for these groups. The second half of the thesis studies the subgroup growth of the congruence subgroups of G(Fp([[t]]), which are examples of pro-p groups.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Kac-Moody algebras, Chevalley groups, Group theory | ||||
Official Date: | July 2018 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Rumynin, Dmitriy, 1971- ; Capdeboscq, Inna | ||||
Extent: | vi, 115 leaves : illustrations | ||||
Language: | eng |
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