Automorphism groups of compact bordered Klein surfaces: a combinatorial approach
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
[1990]
|
| Series: | Lecture notes in mathematics
1439 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 201 Seiten |
| ISBN: | 3540529411 0387529411 |
Staff View
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| 245 | 1 | 0 | |a Automorphism groups of compact bordered Klein surfaces |b a combinatorial approach |c Emilio Bujalance ; José J. Etayo ; José M. Gamboa ; Grzegorz Gromadzki |
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Record in the Search Index
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| adam_text |
Table of Contents
Chapter 0. Preliminary results
0.1 The category of Klein surfaces 1
0.2 Non euclidean crystallographic groups 10
0.3 Teichmuller spaces 17
Chapter 1. Klein surfaces as orbit spaces of NEC groups
1.1 Quotients of Klein surfaces 21
1.2 Compact Klein surfaces as orbit spaces 29
1.3 General results on automorphisms of Klein surfaces 33
1.4 Notes 37
Chapter 2. Normal NEC signatures of NEC groups
2.1 The sign in the signature 38
2.2 Proper periods of normal subgroups 41
2.3 Period cycles 46
2.4 Normal subgroups 52
2.5 Notes 59
Chapter 3. Cyclic groups of automorphisms of compact Klein surfaces
3.1 Cyclic quotients 60
3.2 The minimum genus and maximum order problems 79
3.3 Notes 97
Chapter 4. Klein surfaces with groups of automorphisms
in prescribed families
4.1 Surface kernel factors of NEC groups 98
4.2 Groups of automorphisms of Klein surfaces with maximal symmetry 101
4.3 Supersoluble groups of automorphisms of Klein surfaces 109
4.4 Nilpotent groups of automorphisms of Klein surfaces 124
4.5 Abelian groups of automorphisms of Klein surfaces 131
4.6 Notes 136
Chapter 5. The automorphism group of compact Klein
surfaces with one boundary component
5.1 Maximal NEC groups 138
5.2 The automorphism group 142
5.3 Notes 151
Chapter 6. The automorphism group of hyperelliptic compact
Klein surfaces with boundary
6.1 Hyperelliptic Klein surfaces 153
6.2 The signatures associated to the automorphism group 156
6.3 The automorphism group 160
6.4 Notes 164
Appendix. Compact Klein surfaces and real algebraic curves 165
A. Notes 185
References 187
Subject index 194
Symbol index 197 |
| any_adam_object | 1 |
| author | Bujalance García, Emilio 1953- Etayo, José J. Gamboa, José Manuel 1959- Gromadzki, Grzegorz 1954- |
| author2 | Bujalance García, Emilio 1953- Etayo, José J. Gamboa, José Manuel 1959- Gromadzki, Grzegorz 1954- |
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| author_sort | Bujalance García, Emilio 1953- |
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| classification_rvk | SI 850 SK 240 |
| classification_tum | MAT 146f |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-10-10T12:04:36Z |
| institution | BVB |
| isbn | 3540529411 0387529411 |
| language | English |
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| physical | XIII, 201 Seiten |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Bujalance García, Emilio 1953- (DE-588)112972888 aut Automorphism groups of compact bordered Klein surfaces a combinatorial approach Emilio Bujalance ; José J. Etayo ; José M. Gamboa ; Grzegorz Gromadzki Berlin, [u.a.] Springer [1990] © 1990 XIII, 201 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1439 Klein-Flasche (DE-588)4203085-7 gnd rswk-swf Automorphismengruppe (DE-588)4143708-1 gnd rswk-swf Klein-Flasche (DE-588)4203085-7 s Automorphismengruppe (DE-588)4143708-1 s DE-604 Etayo, José J. aut Gamboa, José Manuel 1959- (DE-588)129491756 aut Gromadzki, Grzegorz 1954- (DE-588)1198137207 aut Erscheint auch als Online-Ausgabe 978-3-540-47180-6 Lecture notes in mathematics 1439 (DE-604)BV000676446 1439 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Automorphism groups of compact bordered Klein surfaces a combinatorial approach Lecture notes in mathematics Klein-Flasche (DE-588)4203085-7 gnd Automorphismengruppe (DE-588)4143708-1 gnd Bujalance García, Emilio 1953- Etayo, José J. Gamboa, José Manuel 1959- Gromadzki, Grzegorz 1954- |
| subject_GND | (DE-588)4203085-7 (DE-588)4143708-1 |
| title | Automorphism groups of compact bordered Klein surfaces a combinatorial approach |
| title_auth | Automorphism groups of compact bordered Klein surfaces a combinatorial approach |
| title_exact_search | Automorphism groups of compact bordered Klein surfaces a combinatorial approach |
| title_full | Automorphism groups of compact bordered Klein surfaces a combinatorial approach Emilio Bujalance ; José J. Etayo ; José M. Gamboa ; Grzegorz Gromadzki |
| title_fullStr | Automorphism groups of compact bordered Klein surfaces a combinatorial approach Emilio Bujalance ; José J. Etayo ; José M. Gamboa ; Grzegorz Gromadzki |
| title_full_unstemmed | Automorphism groups of compact bordered Klein surfaces a combinatorial approach Emilio Bujalance ; José J. Etayo ; José M. Gamboa ; Grzegorz Gromadzki |
| title_short | Automorphism groups of compact bordered Klein surfaces |
| title_sort | automorphism groups of compact bordered klein surfaces a combinatorial approach |
| title_sub | a combinatorial approach |
| topic | Klein-Flasche (DE-588)4203085-7 gnd Automorphismengruppe (DE-588)4143708-1 gnd |
| topic_facet | Klein-Flasche Automorphismengruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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