23
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Finite Subgroups of GL24(Q)

Pages 163-195 | Published online: 03 Apr 2012

REFERENCES

  • Bayer-Fluckiger , E. 1984 . “Definite unimodular lattices having an automorphism of given characteristic polynomial” . Comment. Math. Helvet. , 59 : 509 – 538 . [Bayer-Fluckiger 1984]
  • Benz , H. and Zassenhaus , H. 1985 . “Über verschränkte Produktordnungen” . J. Number Theory , 20 : 282 – 298 . [Benz and Zassenhaus 1985]
  • Buser , P. 1985 . “A geometric proof of Bieberbach's theorems and crystallographic groups” . L'enseignement mathématique , 31 : 137 – 145 . [Buser 1985]
  • Cannon , J. J. 1984 . “An introduction to the group theory language Cayley”. ” . In Computational Group Theory Edited by: Atkinson , M. D. 145 – 183 . London : Academic Press. . [Cannon 1984], (Durham, 1982)
  • Conway , J. H. , Curtis , R. T. , Norton , S. P. , Parker , R. A. and Wilson , R. A. 1985 . Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups Oxford : Oxford University Press. . [Conway et al. 1985]
  • Conway , J. H. and Sloane , N. J. A. 1993 . Sphere Packings, Lattices and Groups, , 2nd ed. New York : Springer. . [Conway and Sloane 1993]
  • DeMeyer , F. , Harrison , D. and Miranda , R. 1989 . “Quadratic forms over Q and Galois extensions of commutative rings” . Memoirs Amer. Math. Soc. , 77 ( 394 ) [DeMeyer et al. 1989]
  • Feit , W. 1974 . “On integral representations of finite groups” . Proc. London Math. Soc. (3) , 29 : 633 – 683 . [Feit 1974]
  • Schönert , M. 1994 . GAP: Groups, Algorithms, and Programming Germany : Lehrstuhl D Für Mathematik, RWTH Aachen. . [Schönert et al. 1994], Available by anonymous ftp, together with the GAP system, on the servers dimacs.rutgers.edu or math. rwth-aachen.de
  • Hasse , H. 1963 . Zahlentheorie, , 2nd. ed. Berlin : Akade-mie-Verlag. . [Hasse 1963]
  • Holt , D. F. and Plesken , W. 1989 . Perfect Groups Oxford : Oxford University Press. . [Holt and Plesken 1989]
  • Huppert , B. 1967 . Endliche Gruppen I Berlin : Springer. . [Huppert 1967], Grundlehren der Math. Wiss. 134
  • Jansen , C. , Lux , K. , Parker , R. A. and Wilson , R. A. 1995 . An Atlas of Brauer Characters Oxford : Oxford University Press. . [Jansen et al. 1995]
  • Pohst , M. 1993 . “KANT-V2”. ” . In Computeralgebra in Deutschland 212 – 218 . [Pohst et al. 1993], edited by Fachgruppe Computeralgebra der GI, DMV und GAMM
  • Lang , S. 1970 . Algebraic Number Theory Reading , MA : Addison–Wesley. . [Lang 1970]
  • Landazuri , V. and Seitz , G. M. 1974 . “On the minimal degrees of projective representations of the finite Chevalley groups” . J. Algebra , 32 : 418 – 443 . [Landazuri and Seitz 1974]
  • Nebe , G. 1995 . “Endliche rationale Matrixgruppen vom Grad 24” , Dissertation Aachen : RWTH. . [Nebe 1995]
  • Nebe , G. and Plesken , W. 1995 . “Finite rational matrix groups” . Memoirs Amer. Math. Soc. , 116 ( 556 ) [Nebe and Plesken 1995]
  • O'Meara , O. T. 1973 . Introduction to Quadratic Forms Springer. . [O'Meara 1973], Grundlehren der Math. Wiss. 117, 3rd. printing
  • Plesken , W. and Hanrath , W. 1984 . The lattices of six-dimensional Euclidean space, Math. Comp. , 43 : 573 – 587 . [Plesken and Hanrath 1984]
  • Plesken , W. 1985 . “Finite unimodular groups of prime degree and circulants” . J. Algebra , 97 : 286 – 312 . [Plesken 1985]
  • Plesken , W. 1991 . “Some applications of representation theory”. ” . In Representation Theory of Finite Groups and Finite-Dimensional Algebras Edited by: Michler , G. O. and Ringel , C. M. 477 – 496 . Basel : Birkhäuser. . [Plesken 1991], (Bielefeld, 1991), Progr. Math. 95
  • Plesken , W. and Nebe , G. 1995 . “Finite rational matrix groups” . Memoirs Amer. Math. Soc. , 116 ( 556 ) [Plesken and Nebe 1995]
  • Plesken , W. and Pohst , M. 1985 . “Constructing integral lattices with prescribed minimum, I” . Math. Comp. , 45 : 209 – 221 . [Plesken and Pohst 1985]
  • Plesken , W. and Souvignier , B. “Computing isometries of lattices” [Plesken and Souvignier 1996], to appear in J. Symb. Comp.
  • Reiner , I. 1975 . Maximal Orders London : Academic Press. . [Reiner 1975], London Math. Soc. Monographs 5
  • Schur , I. 1973 . “Über eine Klasse von endlichen Gruppen linearer Substitutionen”. ” . In Gesammelte Abhandlungen 128 – 142 . Berlin : Springer. . [Schur 1905]
  • Seitz , G. M. and Zalesskii , A. E. 1993 . “On the minimal degrees of projective representations of the finite Chevalley Groups, II” . J. Algebra , 158 : 233 – 243 . [Seitz and Zalesskii 1993]
  • Souvignier , B. 1994 . “Irreducible finite integral matrix groups of degree 8 and 10” . Math. Comp. , 63 : 335 – 350 . [Souvignier 1994]
  • Srinivasan , B. 1968 . “The characters of the finite symplectic group Sp(4, q)” . Trans. Amer. Math. Soc. , 131 : 488 – 525 . [Srinivasan 1968]
  • Washington , L. C. 1982 . Introduction to Cyclotomic Fields New York : Springer. . [Washington 1982], Graduate Texts in Math. 85
  • Watson , G. L. 1962 . “Transformations of a quadratic form which do not increase the class-number” . Proc. London Math. Soc. (3) , 12 : 577 – 587 . [Watson 1962]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.