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Keywords
(1)
Parabolic Systems
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On the Minimal Parabolic System Related to M24
On the Minimal Parabolic System Related to M24,10.1112/jlms/s240.1.40,Journal of The London Mathematical Societysecond Series,P. Rowley
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On the Minimal Parabolic System Related to M24
(
Citations: 10
)
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P. Rowley
Journal:
Journal of The London Mathematical Societysecond Series  J LONDON MATH SOCSECOND SER
, vol. s240, no. 1, pp. 4056, 1989
DOI:
10.1112/jlms/s240.1.40
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jlms.oxfordjournals.org
)
Citation Context
(4)
...and mwwmwwm= = = = t m have been studied in [
R1
, R2], respectively...
...The arguments we use are piecewise quite elementary, almost selfcontained, and are in the spirit of earlier work in [
R1
, R2]...
...We begin this section with some properties of L3(2) and S 6 (for a construction of S 6 consult Section 2 of [
R1
])...
...Proof. For the subgroup lattice see Fig. 1 and (3.22) of [
R1
] and for part (i) consult (3.10)(i) and (3.18) of [R1]...
...Proof. For the subgroup lattice see Fig. 1 and (3.22) of [R1] and for part (i) consult (3.10)(i) and (3.18) of [
R1
]...
...Proof. For the subgroup lattice see Fig. 1 and (3.22) of [R1] and for part (i) consult (3.10)(i) and (3.18) of [R1]. The main theorem of [
R1
] establishes (ii)...
...Parts (iii) and (iv) are proved in (3.3)(i) and (3.11) of [
R1
], respectively...
...Assume that X is a normal 2subgroup of Pi and that Y=X & X xj \S. Then Y & Y xi \Pij . Proof. (i) See (2.1) (ii) of [
R1
]...
...Proof. From [
R1
, (2.2); R2, Lemma 2.3], we obtain parts (i) and (ii)...
...Part (iii) results from [R2, Lemma 2.3;
R1
, (2.4)] (note that xo=x1=a and yo= y1=b where a and b are as in [R1, (2.3)])...
...Part (iii) results from [R2, Lemma 2.3; R1, (2.4)] (note that xo=x1=a and yo= y1=b where a and b are as in [
R1
, (2.3)])...
Peter Rowley
.
On the Minimal Parabolic System Related to the Monster Simple Group
...According to [Tim3] the semiclassical diagrams of rank three correspond to diagrams ,o r . For the latter according to [Hei2] and [
Row
] we have GÅ He;M24 or 3 7 Sp6Ö2Ü...
A. Fukshansky
,
et al.
The Semiclassical Parabolic Systems
...and [
Row
] a semiclassical parabolic system with diagram has as group one of the following: , 24 or 3 7 6 2 . In the first two cases 2 10 whereas 2 9 in the third...
A. Fukshansky
,
et al.
Semiclassical Parabolic Systems Related to M 24
...It was shown in [
14
] that if n = 3 and Rza/Oz(Rz3 ) _ 3. S 6 then the order of B is either 29 or 21°...
A. A. Ivanov
,
et al.
An infinite family of simply connected flagtransitive tilde geometrie...
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Citations
(10)
An FPGAbased MOS circuit simulator
B. S. Deepaksubramanyan
,
P. Parakh
,
Zhenhua Chen
,
H. Diab
,
D. Marcy
,
F. H. Schlereth
Conference:
Midwest Symposium on Circuits and Systems  MWSCAS
, 2005
On the Minimal Parabolic System Related to the Monster Simple Group
(
Citations: 1
)
Peter Rowley
Journal:
Journal of Combinatorial Theory  JCT
, vol. 96, no. 2, pp. 199260, 2001
The Semiclassical Parabolic Systems
(
Citations: 1
)
A. Fukshansky
,
G. Stroth
,
C. Wiedorn
Journal:
Geometriae Dedicata  GEOM DEDIC
, vol. 81, no. 1, pp. 87139, 2000
Some Semiclassical Parabolic Systems of Rank 4
(
Citations: 2
)
Corinna Wiedorn
Journal:
Journal of Algebra  J ALGEBRA
, vol. 211, no. 2, pp. 472513, 1999
Semiclassical Parabolic Systems Related to M 24
(
Citations: 5
)
A. Fukshansky
,
G. Storth
Journal:
Geometriae Dedicata  GEOM DEDIC
, vol. 70, no. 3, pp. 305329, 1998