On generalised Paley graphs and their automorphism groups
Tian Khoon Kim and Cheryl E. Praeger
Source: Michigan Math. J. Volume 58, Issue 1 (2009), 293-308.
Primary Subjects: 05C25, 20B25, 05E30
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.mmj/1242071694
Digital Object Identifier: doi:10.1307/mmj/1242071694
Mathematical Reviews number (MathSciNet):
MR2526089
Zentralblatt MATH identifier:
05566084
References
Á. Bereczky, Maximal overgroups of Singer elements in classical groups, J. Algebra 234 (2000), 187--206.
Mathematical Reviews (MathSciNet):
MR1799483
Digital Object Identifier: doi:10.1006/jabr.2000.8458
Zentralblatt MATH:
0971.20024
N. Biggs, Algebraic graph theory, Cambridge Univ. Press, Cambridge, 1993.
Mathematical Reviews (MathSciNet):
MR1271140
W. Bosma and J. Cannon, Handbook of MAGMA functions, School of Mathematics and Statistics, Univ. of Sydney, 1993, $\langle$http://magma.maths.usyd.edu.au/magma/$\rangle.$
A. E. Brouwer, A. M. Cohen, and A. Neumaier, Distance regular graphs, Ergeb. Math. Grenzgeb. (3), 18, Springer-Verlag, Berlin, 1989.
Mathematical Reviews (MathSciNet):
MR1002568
P. J. Cameron, Permutation groups, London Math. Soc. Stud. Texts, 45, Cambridge Univ. Press, Cambridge, 1999.
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of finite groups, Oxford Univ. Press, Eynsham, 1985.
Mathematical Reviews (MathSciNet):
MR827219
Zentralblatt MATH:
0568.20001
C. D. Godsil, Algebraic combinatorics, Chapman & Hall, New York, 1993.
Mathematical Reviews (MathSciNet):
MR1220704
C. D. Godsil and G. F. Royle, Algebraic graph theory, Grad. Texts in Math., 207, Springer-Verlag, New York, 2001.
Mathematical Reviews (MathSciNet):
MR1829620
Zentralblatt MATH:
0968.05002
R. Guralnick, T. Penttila, C. E. Praeger, and J. Saxl, Linear groups with orders having certain large prime divisors, Proc. London Math. Soc. (3) 78 (1999), 167--214.
Mathematical Reviews (MathSciNet):
MR1658168
Digital Object Identifier: doi:10.1112/S0024611599001616
Zentralblatt MATH:
1041.20035
B. Huppert, Singer-zyklen in klassischen Gruppen, Math. Z. 117 (1970), 141--150.
Mathematical Reviews (MathSciNet):
MR274600
Digital Object Identifier: doi:10.1007/BF01109836
Zentralblatt MATH:
0311.20024
C. H. Li, T. K. Lim, and C. E. Praeger, Homogeneous factorisations of complete graphs with edge-transitive factors, J. Algebraic Combin. 29 (2009), 107--132.
Mathematical Reviews (MathSciNet):
MR2470118
Digital Object Identifier: doi:10.1007/s10801-008-0127-2
C. H. Li and C. E. Praeger, On partitioning the orbitals of a transitive permutation group, Trans. Amer. Math. Soc. 355 (2003), 637--653.
Mathematical Reviews (MathSciNet):
MR1932718
Digital Object Identifier: doi:10.1090/S0002-9947-02-03110-0
JSTOR: links.jstor.org
Zentralblatt MATH:
1017.20001
M. W. Liebeck, C. E. Praeger, and J. Saxl, On the O'Nan--Scott theorem for finite primitive permutation groups, J. Austral. Math. Soc. Ser. A 44 (1988), 389--396.
Mathematical Reviews (MathSciNet):
MR929529
Digital Object Identifier: doi:10.1017/S144678870003216X
R. McConnel, Pseudo-ordered polynomials over a finite field, Acta. Arith. 8 (1963), 127--151.
Mathematical Reviews (MathSciNet):
MR164953
R. E. A. C. Paley, On orthogonal matrices, J. Math. Phys. 12 (1933), 311--320.
W. Peisert, All self-complementary symmetric graphs, J. Algebra 240 (2001), 209--229.
Mathematical Reviews (MathSciNet):
MR1830551
Digital Object Identifier: doi:10.1006/jabr.2000.8714
Zentralblatt MATH:
1021.05051
C. E. Praeger, The inclusion problem for finite primitive permutation groups, Proc. London Math. Soc. (3) 60 (1990), 68--88.
Mathematical Reviews (MathSciNet):
MR1023805
Digital Object Identifier: doi:10.1112/plms/s3-60.1.68
Zentralblatt MATH:
0653.20005
C. E. Praeger and J. Saxl, Closures of finite primitive permutation groups, Bull. London Math. Soc. 24 (1992), 251--258.
Mathematical Reviews (MathSciNet):
MR1157260
Digital Object Identifier: doi:10.1112/blms/24.3.251
Zentralblatt MATH:
0794.20005
M. Suzuki, Group theory I, Grundlehren Math. Wiss., 247, Springer-Verlag, New York, 1982.
Mathematical Reviews (MathSciNet):
MR648772
Zentralblatt MATH:
0472.20001
H. Wielandt, Finite permutation groups, Academic Press, New York, 1964.
Mathematical Reviews (MathSciNet):
MR183775
Zentralblatt MATH:
0138.02501
K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math. Phys. 3 (1892), 265--284.
Mathematical Reviews (MathSciNet):
MR1546236
Digital Object Identifier: doi:10.1007/BF01692444
The Michigan Mathematical Journal
