Characters and automorphism groups of compact Riemann surfaces:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2000
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society lecture note series
280 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Aachen, Techn. Hochsch., Diss., 1998 |
| Physical Description: | XII, 199 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Characters and automorphism groups of compact Riemann surfaces |c Thomas Breuer |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2000 | |
| 300 | |a XII, 199 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 280 | |
| 500 | |a Zugl.: Aachen, Techn. Hochsch., Diss., 1998 | ||
| 650 | 4 | |a Automorfismos | |
| 650 | 4 | |a Caracteres de grupos | |
| 650 | 4 | |a Superficies de Riemann | |
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| 689 | 0 | 1 | |a Charakter |g Gruppentheorie |0 (DE-588)4158438-7 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009366045 | |
Record in the Search Index
| _version_ | 1807500698207649792 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
NOTATION
IX
CHAPTER
1.
COMPACT
RIEMANN
SURFACES
1
1.
BASIC
FACTS
ABOUT
RIEMANN
SURFACES
1
2.
BASIC
ALGEBRAIC
TOPOLOGY
4
3.
FUCHSIAN
GROUPS
7
4.
THE
RIEMANN-HURWITZ
FORMULA
18
5.
EXAMPLES
20
CHAPTER
2.
GROUP
CHARACTERS
22
6.
BASIC
FACTS
ABOUT
CHARACTERS
22
7.
THE
MODULE
?C(X)
OF
HOLOMORPHIC
DIFFERENTIALS
25
8.
CHARACTERS
THAT
COME
FROM
RIEMANN
SURFACES
28
CHAPTER
3.
AUTOMORPHISMS
OF
COMPACT
RIEMANN
SURFACES
29
9.
ABELIAN
GROUPS
OF
AUTOMORPHISMS
29
10.
FIXED
POINTS
OF
AUTOMORPHISMS
35
11.
ROTATION
CONSTANTS
38
12.
THE
EICHLER
TRACE
FORMULA
41
13.
SUMMARY
43
CHAPTER
4.
GENERATION
OF
GROUPS
45
14.
STRUCTURE
CONSTANTS
45
15.
CRITERIA
OF
GENERATION
AND
NONGENERATION
47
16.
THE
STRONG
SYMMETRIC
GENUS
OF
A
GROUP
62
17.
ADMISSIBLE
SIGNATURES
64
CHAPTER
5.
CLASSIFICATION
FOR
SMALL
GENUS
72
18.
ALGORITHMS
72
19.
IRREDUCIBLE
CHARACTERS
COMING
FROM
RIEMANN
SURFACES
81
20.
CALCULATIONS
FOR
2
G
48
84
CHAPTER
6.
CLASSIFICATION
FOR
FIXED
GROUP:
REAL
CHARACTERS
92
21.
EXAMPLE:
G
=
D
2P
92
IV
CONTENTS
22.
NECESSARY
CONDITIONS
ON
Y
+
Y
95
23.
FINITENESS
RESULTS
105
24.
A
CLASSIFICATION
ALGORITHM
112
25.
EXAMPLE:
G
=
2
N
119
26.
EXAMPLE:
G
=
D
2N
120
27.
EXAMPLE:
G
=
Z/2(2
N
)
126
28.
EXAMPLE:
G
=
L
2
(Q)
FOR
Q
=
1
(MOD
4)
131
29.
EXAMPLE:
G
=
S
N
134
CHAPTER
7.
CLASSIFICATION
FOR
FIXED
GROUP:
NONREAL
IRRATIONALITIES
138
30.
NECESSARY
CONDITIONS
ON
Y
138
31.
FINITENESS
RESULTS
154
32.
ABELIAN
GROUPS
OF
AUTOMORPHISMS
159
33.
A
CLASSIFICATION
ALGORITHM
160
34.
EXAMPLE:
G
=
L
2
(Q)
FOR
Q
=
-
1
(MOD
4)
164
35.
EXAMPLE:
G
=
A
N
173
36.
EXAMPLE:
SUZUKI
GROUPS
SZ(Q)
173
37.
EXAMPLE:
SPORADIC
SIMPLE
GROUPS
175
APPENDIX
A.
ABELIAN
INVARIANTS
176
APPENDIX
B.
IRREDUCIBLE
CHARACTERS
179
APPENDIX
C.
MAILLET
'
S
DETERMINANT
184
A
NUMBER
THEORETIC
RESULT
184
SOME
REMARKS
ON
THE
PROBLEM
189
REFERENCES
192
INDEX
196 |
| any_adam_object | 1 |
| author | Breuer, Thomas 1964- |
| author_GND | (DE-588)12278524X |
| author_facet | Breuer, Thomas 1964- |
| author_role | aut |
| author_sort | Breuer, Thomas 1964- |
| author_variant | t b tb |
| building | Verbundindex |
| bvnumber | BV013703916 |
| classification_rvk | SI 320 SK 750 |
| ctrlnum | (OCoLC)318407120 (DE-599)BVBBV013703916 |
| dewey-full | 515.93 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.93 |
| dewey-search | 515.93 |
| dewey-sort | 3515.93 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013703916 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T00:09:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009366045 |
| oclc_num | 318407120 |
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| owner_facet | DE-355 DE-BY-UBR DE-703 DE-20 DE-11 DE-384 DE-19 DE-BY-UBM |
| physical | XII, 199 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Breuer, Thomas 1964- Verfasser (DE-588)12278524X aut Characters and automorphism groups of compact Riemann surfaces Thomas Breuer 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2000 XII, 199 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 280 Zugl.: Aachen, Techn. Hochsch., Diss., 1998 Automorfismos Caracteres de grupos Superficies de Riemann Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd rswk-swf Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Automorphismengruppe (DE-588)4143708-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kompakte Riemannsche Fläche (DE-588)4164852-3 s Charakter Gruppentheorie (DE-588)4158438-7 s Automorphismengruppe (DE-588)4143708-1 s DE-604 London Mathematical Society lecture note series 280 (DE-604)BV000000130 280 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009366045&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Breuer, Thomas 1964- Characters and automorphism groups of compact Riemann surfaces London Mathematical Society lecture note series Automorfismos Caracteres de grupos Superficies de Riemann Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Automorphismengruppe (DE-588)4143708-1 gnd |
| subject_GND | (DE-588)4164852-3 (DE-588)4158438-7 (DE-588)4143708-1 (DE-588)4113937-9 |
| title | Characters and automorphism groups of compact Riemann surfaces |
| title_auth | Characters and automorphism groups of compact Riemann surfaces |
| title_exact_search | Characters and automorphism groups of compact Riemann surfaces |
| title_full | Characters and automorphism groups of compact Riemann surfaces Thomas Breuer |
| title_fullStr | Characters and automorphism groups of compact Riemann surfaces Thomas Breuer |
| title_full_unstemmed | Characters and automorphism groups of compact Riemann surfaces Thomas Breuer |
| title_short | Characters and automorphism groups of compact Riemann surfaces |
| title_sort | characters and automorphism groups of compact riemann surfaces |
| topic | Automorfismos Caracteres de grupos Superficies de Riemann Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd Charakter Gruppentheorie (DE-588)4158438-7 gnd Automorphismengruppe (DE-588)4143708-1 gnd |
| topic_facet | Automorfismos Caracteres de grupos Superficies de Riemann Kompakte Riemannsche Fläche Charakter Gruppentheorie Automorphismengruppe Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009366045&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT breuerthomas charactersandautomorphismgroupsofcompactriemannsurfaces |