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Communications in Algebra Volume 25, 1997 - Issue 6
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Original Articles

Writing representations over minimal fields

S. P. Glasby Department of Mathematics Computing Science, University of the South Pacific, P.O. Box 1168, Suva, Fiji
&
R. B. Howlett School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
Pages 1703-1711 | Received 01 Jul 1995, Published online: 05 Jul 2007

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ColvaM. Roney-Dougal. (2004) Conjugacy of Subgroups of the General Linear Group. Experimental Mathematics 13:2, pages 151-163.
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Articles from other publishers (20)

David J. Benson. (2024) Matrices for finite group representations that respect Galois automorphisms. Archiv der Mathematik 122:4, pages 377-383.
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Dmitrii Pasechnik. (2021) Splitting fields of real irreducible representations of finite groups. Representation Theory of the American Mathematical Society 25:31, pages 897-902.
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ANDREW V. SUTHERLAND. (2016) COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES. Forum of Mathematics, Sigma 4.
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SEBASTIAN JAMBOR. (2014) DETERMINING ASCHBACHER CLASSES USING CHARACTERS. Journal of the Australian Mathematical Society 98:3, pages 355-363.
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Elisavet Konstantinou & Aristides Kontogeorgis. 2015. Computation, Cryptography, and Network Security. Computation, Cryptography, and Network Security 299 318 .
Aristides Kontogeorgis. (2013) Constructing class invariants. Mathematics of Computation 83:287, pages 1477-1488.
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Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta & Jeroen Sijsling. (2014) Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. LMS Journal of Computation and Mathematics 17:A, pages 128-147.
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A.S. Detinko, D.L. Flannery & E.A. OʼBrien. (2013) Recognizing finite matrix groups over infinite fields. Journal of Symbolic Computation 50, pages 100-109.
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S.P. Glasby, P.P. Pálfy & Csaba Schneider. (2011) p-Groups with a unique proper non-trivial characteristic subgroup. Journal of Algebra 348:1, pages 85-109.
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Claus Fieker. (2009) Minimizing representations over number fields II: Computations in the Brauer group. Journal of Algebra 322:3, pages 752-765.
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Bernd Souvignier. (2009) Decomposing homogeneous modules of finite groups in characteristic zero. Journal of Algebra 322:3, pages 948-956.
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Jon F. Carlson, Max Neunhöffer & Colva M. Roney-Dougal. (2009) A polynomial-time reduction algorithm for groups of semilinear or subfield class. Journal of Algebra 322:3, pages 613-637.
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Arjeh M. Cohen & Scott H. Murray. (2009) An algorithm for Lang's Theorem. Journal of Algebra 322:3, pages 675-702.
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S.P. Glasby. (2008) Writing representations over proper division subrings. Journal of Algebra 319:1, pages 77-92.
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M. Conder, C. Leedham-Green & E. O’Brien. (2005) Constructive recognition of 𝑃𝑆𝐿(2,𝑞). Transactions of the American Mathematical Society 358:3, pages 1203-1221.
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S.P. Glasby, C.R. Leedham-Green & E.A. O'Brien. (2006) Writing projective representations over subfields. Journal of Algebra 295:1, pages 51-61.
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D. L. FLANNERY & E. A. O'BRIEN. (2011) LINEAR GROUPS OF SMALL DEGREE OVER FINITE FIELDS. International Journal of Algebra and Computation 15:03, pages 467-502.
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Claus Fieker. (2004) Minimizing representations over number fields. Journal of Symbolic Computation 38:1, pages 833-842.
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D. L. FLANNERY. (2011) IRREDUCIBLE MONOMIAL LINEAR GROUPS OF DEGREE FOUR OVER FINITE FIELDS. International Journal of Algebra and Computation 14:03, pages 253-294.
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Alice C. Niemeyer & Cheryl E. Praeger. 2001. Aspects of Complexity. Aspects of Complexity 87 114 .

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