Fachbereich
Mathematik und Statistik
Universität
Konstanz
Schwerpunkt Reelle Geometrie und Algebra
>
Prof. Dr. Salma Kuhlmann
,
Dr. Annalisa Conversano
Seminar Topologische Gruppen
(SS 2011)
Prof. Dr. Salma Kuhlmann
Dr. Annalisa Conversano
Zeit und Ort: Donnerstag, 14-16 Uhr (D 436)
Beginn: Donnerstag, 28. April 2011
Vorbesprechung: 14. April 2011 um 14.00 Uhr, F433
Schedule:
Lecture 01
: ABELIAN GROUPS (28. April 14-15 Uhr, Lena Trieschmann)
Reference
: [2]
Lecture 02
: THE ABELIANIZATION (5. Mai 14-15 Uhr, Pina Grabert)
Reference
: [9]
Lecture 03
: METABELIAN GROUPS (5. Mai 15-16 Uhr, Rabea Seyboldt)
Reference
: [9]
Lecture 04
: SOLVABLE GROUPS I (12. Mai 14-15 Uhr, Harald Hentschel)
References
: [4]
Lecture 05
: SOLVABLE GROUPS II (12. Mai 15-16 Uhr, Dominik Hellmann)
References
: [4]
Lecture 06
: TRANSFORMATION GROUPS (19. Mai 14-15 Uhr, Torsten Friese)
Reference
: [8]
Lecture 07
: DIHEDRAL GROUPS (19. Mai 15-16 Uhr, Florentin Rößiger)
Reference
: [8]
Lecture 08
: PRODUCTS OF GROUPS (26. Mai 14-15 Uhr, Kim Schuchhardt)
Reference
: [8]
Lecture 09
: GENERALIZED HEISENBERG GROUPS (26. Mai 15-16 Uhr, Peter Ulber)
Reference
: [6]
Lecture 10
: AFFINE GROUPS (9. Juni 14-15 Uhr, Daniela Schmider)
Reference
: [1]
Lecture 11
: ISOMETRY GROUPS (9. Juni 15-16 Uhr, Sebastian Bischof)
Reference
: [1]
Lecture 12
: UNITARY GROUPS (16. Juni 14-15 Uhr, Kristin Kutchat)
Reference
: [1]
Lecture 13
: THE FREE GROUP (16. Juni 15-16 Uhr, Ann-Catherine Matthias)
Reference
: [11]
Lecture 14
: CLOSED SUBGROUPS OF R^n (30. Juni 14-15 Uhr, Sophie Gasser)
Reference
: [2]
References:
[1] A. Baker, Matrix groups, Springer 2002.
[2] D. Dikrajan, Introduction to topological groups:
http://users.dimi.uniud.it/~dikran.dikranjan/ITG.pdf.
[3] K.H. Hofmann, Introduction to topological groups:
http://129.81.170.14/~khh/Lagniappe/topgr.pdf
[4] K. Iwasawa, On some types of topological groups, Annals of Mathematics (1949).
[5] J. McKernan, Solvable groups: http://www.math.ucsb.edu/~mckernan/Teaching/05-06/Autumn/220A/l_9.pdf
[6] M. Megrelishvili, Generalized Heisenberg groups and Shtern's question,
Georgian Mathematical Journal (2004).
[7] B. Osserman, Inverse limits and profinite groups:
http://www.math.ucdavis.edu/~osserman/classes/250C/notes/profinite.pdf
[8] V. Paulsen, An introduction to the theory of topological groups and their representation:
http://www.math.uh.edu/~vern/grouprepn.pdf
[9] M. Shlossberg, Topological groups, semi-direct products and relative minimality:
http://u.cs.biu.ac.il/~megereli/meni.pdf
[10] R.J. Wisnesy, Solvable groups: http://wisnesky.net/wim3.pdf
[11] J.J. Rotman, An introduction to the theory of groups, Springer 1995.
Letzte Änderung: 2. 5. 2011
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