q-Clan geometries in characteristic 2:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2007
|
| Schriftenreihe: | Frontiers in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 159 - 164 |
| Beschreibung: | XIV, 166 S. graph. Darst. |
| ISBN: | 9783764385071 3764385073 |
Internformat
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| 020 | |a 3764385073 |9 3-7643-8507-3 | ||
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| 100 | 1 | |a Cardinali, Ilaria |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a q-Clan geometries in characteristic 2 |c Ilaria Cardinali ; Stanley E. Payne |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2007 | |
| 300 | |a XIV, 166 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Frontiers in mathematics | |
| 500 | |a Literaturverz. S. 159 - 164 | ||
| 650 | 0 | 7 | |a Verallgemeinertes Viereck |0 (DE-588)4187518-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Verallgemeinertes Viereck |0 (DE-588)4187518-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Payne, Stanley E. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020109049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020109049 | ||
Datensatz im Suchindex
| _version_ | 1804142664233254912 |
|---|---|
| adam_text | CONTENTS
PRELIMINARIES IX
I
N
T
R
O
D
U
C
T
I
O
N.................................. I
X
FI
N
I
T
EGE
N
E
R
A
L
I
Z
E
DQU
A
D
R
A
N
G
L
E
S....................... X
PR
O
L
E
G
O
ME
N
A ................................. X
I
I
1
Q
-CLANS AND THEIR GEOMETRIES 1
1
.
1 AN
I
S
O
T
R
O
P
I
S
M .............................. 1
1.2
Q
-
CL
A
N
S ................................. 2
1
.
3 FL
O
C
K
SOFAQU
A
D
R
A
T
I
CCO
N
E ...................... 2
1.4 4-GONAL FAMILIES FROM
Q
-
CL
A
N
S .................... 4
1.5 OVALS IN
R
*
............................... 8
1
.
6 HE
R
DCO
V
E
RAN
DHE
R
DOFOV
A
L
S .................... 9
1.7 HERDS OF OVALS FROM
Q
-
CL
A
N
S...................... 1
1
1.8 GENERALIZED QUADRANGLES FROM
Q
-
CL
A
N
S................ 1
2
1.9 SPREADS OF PG(3,Q) ASSOCIATED WITH
Q
-
CL
A
N
S............. 1
4
2 THE FUNDAMENTAL THEOREM 19
2
.
1 GR
I
D
SAN
DAFFI
N
EPL
A
N
E
S ........................ 2
0
2.2 THE FUNDAMENTAL THEOREM . . . . . . . . . . . . . . . . . . . . . .
22
2.3
AUT
(
G
*
)................................. 2
6
2.4 EXTENSION TO 1
/
2-NORMALIZED
Q
-
CL
A
N
S................. 3
3
2.5 A CHARACTERIZATION OF THE
Q
-
CL
A
NKE
R
N
E
L............... 3
5
2
.
6 VE
R
YIMPO
R
T
A
N
TCO
N
C
E
P
T........................ 3
8
2.7 THE
Q
-CLAN
C
I
S
,
S
*
F
.......................... 3
8
2
.
8 TH
EI
N
D
U
C
E
DOV
A
LS
T
A
B
I
L
I
Z
E
R
S ..................... 4
1
2.9 ACTION OF
H
ON GENERATORS OF CONE
K
................ 4
4
3AU
T
(GQ(
C
C
C
))
47
3
.
1 GE
N
E
R
A
LRE
MA
R
K
S............................ 4
7
3.2 AN INVOLUTION OF
GQ
(
C
) ........................ 5
0
3.3 THE AUTOMORPHISM GROUP OF THE HERD COVER . . . . . . . . . . . . 51
3.4 THE MAGIC ACTION OF O*KEEFE AND PENTTILA . . . . . . . . . . . . . .
53
VI
CONTENTS
3
.
5 TH
EAU
T
O
MO
R
P
H
I
S
MGR
O
U
POFT
H
EHE
R
D................ 5
9
3.6 THE GROUPS
G
0
,
G
0
AND
*
G
0
...................... 6
1
3.7 THE SQUARE-BRACKET FUNCTION . . . . . . . . . . . . . . . . . . . .
. 62
3.8 A CYCLIC LINEAR COLLINEATION . . . . . . . . . . . . . . . . . . . .
. . 63
3
.
9 S
O
MEI
N
V
O
L
U
T
I
O
N
S............................ 6
5
3.10 SOME SEMI-LINEAR COLLINEATIONS . . . . . . . . . . . . . . . . . .
. . 66
4 THE CYCLIC
Q
-CLANS 73
4.1 THE UNIFIED CONSTRUCTION OF [COP03] . . . . . . . . . . . . . . . .
. 73
4.2 THE KNOWN CYCLIC
Q
-
CL
A
N
S ...................... 7
7
4.3
Q
-
CL
A
NFU
N
C
T
I
O
N
SVI
ATH
ESQ
U
A
R
EBR
A
C
K
E
T .............. 7
8
4.4 THE FLIP IS A COLLINEATION . . . . . . . . . . . . . . . . . . . . .
. . 80
4
.
5 TH
EMA
I
NIS
O
MO
R
P
H
I
S
MTH
E
O
R
E
M................... 8
1
4.6 THE UNIFIED CONSTRUCTION GIVES CYCLIC
Q
-
CL
A
N
S ........... 8
4
4.7 SOME SEMI-LINEAR COLLINEATIONS . . . . . . . . . . . . . . . . . . .
. 85
4
.
8 ANOV
A
LS
T
A
B
I
L
I
Z
E
R ........................... 8
8
5 APPLICATIONS TO THE KNOWN CYCLIC
Q
-CLANS 91
5.1 THE CLASSICAL EXAMPLES:
Q
=2
E
FOR
E
*
1............... 9
1
5.2 THE FTWKB EXAMPLES:
Q
=2
E
WITH
E
OD
D............. 9
5
5.3 THE SUBIACO EXAMPLES:
Q
=2
E
,
E
*
4................. 9
8
5.4 THE ADELAIDE EXAMPLES:
Q
=2
E
WITH
E
EV
E
N............. 1
0
0
6 THE SUBIACO OVAL STABILIZERS 101
6
.
1 AL
G
E
B
R
A
I
CPL
A
N
ECU
R
V
E
S ........................ 1
0
1
6.2 THE ACTION OF
G
0
ON THE
R
*
...................... 1
0
4
6.3 THE CASE
E
*
2(MO
D4) ........................ 1
0
6
6.4 THE CASE
E
*
1
0(MO
D20
)....................... 1
1
0
6.5 SUBIACO HYPEROVALS: THE VARIOUS CASES . . . . . . . . . . . . . . .
111
6.6
O
+
(1
,
1)
A
SANAL
G
E
B
R
A
I
CCU
R
V
E ..................... 1
1
2
6.7 THE CASE
E
*
0(MO
D4)........................ 1
1
6
6.8 THE CASE
E
OD
D ............................ 1
2
0
6.9 THE CASE
E
*
2(MO
D4) ........................ 1
2
2
6.10 SUMMARY OF SUBIACO OVAL STABILIZERS . . . . . . . . . . . . . . . .
. 129
7 THE ADELAIDE OVAL STABILIZERS 133
7
.
1 TH
EAD
E
L
A
I
D
EOV
A
L ........................... 1
3
3
7.2 A POLYNOMIAL EQUATION FOR THE ADELAIDE OVAL . . . . . . . . . . . .
133
7.3 IRREDUCIBILITY OF THE CURVE . . . . . . . . . . . . . . . . . . . .
. . . 136
7
.
4 TH
ECO
MP
L
E
T
EOV
A
LS
T
A
B
I
L
I
Z
E
R..................... 1
3
7
CONTENTS
VII
8TH
E
P
A
Y
N
E
Q
-CLANS 141
8.1 THE MONOMIAL
Q
-
CL
A
N
S......................... 1
4
1
8
.
2 TH
EEX
A
MP
L
E
SOFPA
Y
N
E ........................ 1
4
1
8
.
3 TH
ECO
MP
L
E
T
EPA
Y
N
EOV
A
LST
A
B
I
L
I
Z
E
R
S................. 1
4
4
9 OTHER GOOD STUFF 149
9
.
1 S
P
R
E
A
D
SAN
DOV
O
I
D
S .......................... 1
4
9
9.2 THE GEOMETRIC CONSTRUCTION OF J. A. THAS . . . . . . . . . . . . . .
151
9
.
3 ARE
S
U
L
TOFN.L.J
O
H
N
S
O
N....................... 1
5
3
9.4 TRANSLATION (HYPER)OVALS AND
*
-
FL
O
C
K
S ............... 1
5
4
9
.
5 MO
N
O
MI
A
LH
Y
PE
R
O
V
A
L
S.......................... 1
5
6
9
.
6 CO
N
C
L
U
S
I
O
NAN
DOP
E
NPR
O
B
L
E
MS .................... 1
5
7
BIBLIOGRAPHY 159
INDEX 165
|
| any_adam_object | 1 |
| author | Cardinali, Ilaria Payne, Stanley E. |
| author_facet | Cardinali, Ilaria Payne, Stanley E. |
| author_role | aut aut |
| author_sort | Cardinali, Ilaria |
| author_variant | i c ic s e p se sep |
| building | Verbundindex |
| bvnumber | BV025497012 |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)255538462 (DE-599)BVBBV025497012 |
| dewey-full | 516.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.11 |
| dewey-search | 516.11 |
| dewey-sort | 3516.11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV025497012 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:35:21Z |
| institution | BVB |
| isbn | 9783764385071 3764385073 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020109049 |
| oclc_num | 255538462 |
| open_access_boolean | |
| owner | DE-11 DE-188 |
| owner_facet | DE-11 DE-188 |
| physical | XIV, 166 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Frontiers in mathematics |
| spelling | Cardinali, Ilaria Verfasser aut q-Clan geometries in characteristic 2 Ilaria Cardinali ; Stanley E. Payne Basel [u.a.] Birkhäuser 2007 XIV, 166 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frontiers in mathematics Literaturverz. S. 159 - 164 Verallgemeinertes Viereck (DE-588)4187518-7 gnd rswk-swf Verallgemeinertes Viereck (DE-588)4187518-7 s DE-604 Payne, Stanley E. Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020109049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cardinali, Ilaria Payne, Stanley E. q-Clan geometries in characteristic 2 Verallgemeinertes Viereck (DE-588)4187518-7 gnd |
| subject_GND | (DE-588)4187518-7 |
| title | q-Clan geometries in characteristic 2 |
| title_auth | q-Clan geometries in characteristic 2 |
| title_exact_search | q-Clan geometries in characteristic 2 |
| title_full | q-Clan geometries in characteristic 2 Ilaria Cardinali ; Stanley E. Payne |
| title_fullStr | q-Clan geometries in characteristic 2 Ilaria Cardinali ; Stanley E. Payne |
| title_full_unstemmed | q-Clan geometries in characteristic 2 Ilaria Cardinali ; Stanley E. Payne |
| title_short | q-Clan geometries in characteristic 2 |
| title_sort | q clan geometries in characteristic 2 |
| topic | Verallgemeinertes Viereck (DE-588)4187518-7 gnd |
| topic_facet | Verallgemeinertes Viereck |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020109049&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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