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Deciding finiteness of matrix groups in deterministic polynomial time
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents
Kiev, Ukraine
Pages: 117 - 126  
Year of Publication: 1993
ISBN:0-89791-604-2
Authors
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SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 20,   Citation Count: 4
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
Alo
Ba1
 
Ba2
L. Bahai: Computational complexity in finite groups, in: Proc. International Congress of Mathematicians, Kyoto 1990, Springer, Hong Kong 1991, pp. 1479-1489.
 
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BF
 
BR
L. Babai, L. R6nyai: Computing irreducible representations of finite groups, Math. Comp. 55 (1990), 705-722. (Preliminary version: 30th FOCS, 1989, pp. 93-98.)
 
BSz
L. Babai, E. Szemer6di: On the complexity of matrix group problems i, in: Proc. 25th IEEE FOCS, Palm Beach FL, 1984, pp. 229-240.
 
Bu
W. Burnside, Theory of Groups of Finite Order, 2nd ed., Cambridge, 1911.
 
CR
C. W. Curtis, I. Reiner: Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1966.
 
Dic
L. E. Dickson: Algebras and Their Arithmetics, University of Chicago Press, Chicago, 1923.
 
Dix
J. Dixon: Computing irreducible representations of groups, Math. Comp. 24 (1970), 446-450.
 
Eb
 
ER
P. Erd6s, A. R~nyi: Probabilistic methods in group theory, J. d'Analyse Math. 14 (1965), 127- 138.
FR
 
GL
G. H. Golub, C. F. Van Loan: Matrix Computations, Johns Hopkins Univ. Press, Baltimore, 1989.
 
GLS
M. GrStschel, L. Lov~sz, A. Schrijver: Geometric Algorithms and Combinatoriai Optimization, Springer-Verlag, Berlin, 1987.
 
Ha
P. galmos: Finite-dimensionai Vector Spaces, Van Nostrand, Princeton, 1958.
 
LLL
A. K. Lenstra, H. W. Lenstra, L. Lov~sz: Factoring Polynomials with Rational Coefficients, Math. Ann. 261 (1982), pp. 515-534.
 
Mi
K. A. Mihailova: The occurrence problem for direct products of groups (in Russian), Dokl. Akad. Nauk SSSR 119 (1958), pp. 1103-1105, and Mat. Sb. (IV. S.) 70 (112) (1966), pp. 241-251.
 
New
M. Newman: Integral Matrices, Pure and Applied Mathematics, vol. 45, Academic Press, New York, 1972.
 
Ro1
 
Sp
A. Speiser: Die Theorie der Gruppen yon endlicher Ordnung, Dritte Auflage, Dover, NY, 1937.


Collaborative Colleagues:
László Babai: colleagues
Robert Beals: colleagues
Daniel Rockmore: colleagues