@article{ITA_1991__25_4_323_0,
author = {Waack, St.},
title = {On the parallel complexity of linear groups},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {323--354},
year = {1991},
publisher = {EDP Sciences},
volume = {25},
number = {4},
mrnumber = {1134386},
zbl = {0789.68074},
language = {en},
url = {https://www.numdam.org/item/ITA_1991__25_4_323_0/}
}
TY - JOUR AU - Waack, St. TI - On the parallel complexity of linear groups JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1991 SP - 323 EP - 354 VL - 25 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/item/ITA_1991__25_4_323_0/ LA - en ID - ITA_1991__25_4_323_0 ER -
%0 Journal Article %A Waack, St. %T On the parallel complexity of linear groups %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 1991 %P 323-354 %V 25 %N 4 %I EDP Sciences %U https://www.numdam.org/item/ITA_1991__25_4_323_0/ %G en %F ITA_1991__25_4_323_0
Waack, St. On the parallel complexity of linear groups. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 25 (1991) no. 4, pp. 323-354. https://www.numdam.org/item/ITA_1991__25_4_323_0/
1. , On a problem of Philip Hall, Ann. of Math., 1967, 86(2), pp. 112-116. | Zbl | MR
2. , , Subrekursive Komplexität bei Gruppen, I. Gruppen mit vorgeschriebener Komplexität, Acta Inform., 1977, 9, pp. 87-104. | Zbl | MR
3. , , Subrekursive Komplexität bei Gruppen, II. Der Einbettungssatz von Higman für entscheidbare Gruppen, Acta Inform., 1978, 9, pp. 183-193. | Zbl
4. , , The Nielson reduction and P-complete problems in free groups, Theoret. Comput. Sci., 1984, 32, pp. 61-76. | Zbl
5. , , On the complexity of intersection and conjugacy problems in free groups, Theoret. Comput. Sci., 1984, pp. 279-295. | Zbl
6. , Bounded-width polynomial-size branching programs recognize exactly those languages in NC1, in: Proc. 18th A.C.M. S.T.O.C., 1986, pp. 1-5.
7. , , , Logdepth circuits for division and related problems, S.I.A.M. J. Comput., 1986, 15 (4), pp. 993-1003. | Zbl
8. , , , Parallel computation for well-endowed rings and space bounded probabilistic machines, TR # 162/83, University of Toronto.
9. , The classification of problems which have fast parallel algorithms, in: Lecture Notes in Comput. Sci., 158, Springer-Verlag, Berlin, 1983. | Zbl | MR
10. , A Taxonomy of problems with fast parallel algorithms, Inform. and Control, 1985, 64, pp. 2-22. | Zbl | MR
11. , , Problems complete for deterministic logarithmic space, J. Algorithms, 1987, 8, pp. 385-394. | Zbl | MR
12. , , The parallel complexity of abelian permutation group problems, S.I.A.M. J. Comput., 1987, 16(2), pp. 880-909. | Zbl | MR
13. , The accessibility of finitely presented groups, Invent. Math., 1985, 81, pp. 449-457. | Zbl | MR
14. , Subgroups of finite index in free groups, Canad. J. Math., 1949, 1, pp. 187-190. | Zbl | MR
15., , An introduction to the theory of numbers, Oxford U. Press, London, 1957. | Zbl | JFM
16. , , Introduction to automata theory, languages, and computation, Addison-Wesley, Reading, 1979. | Zbl | MR
17. , , On oblivious branching programs of linear length, to appear in Inform. and Comput. | Zbl | MR
18. , , Lower bounds on the complexity of real-time branching programs, RAIRO Inform. Théor. Appl., 1988, 22 (4), pp. 447-459. | Zbl | MR | Numdam
19. , Algebra, Addison-Wesley, Reading 1965. | Zbl | MR
20. , Polynomials with 0-1 coefficients that are hard to evaluate, in: Proc. 16th Ann. I.E.E.E. Symp. on Foundations of Comp. Sci., 1975, pp. 6-10. | MR
21. , , Word problems solvable in logspace, J. of the A.C.M., 1977, 24 (3), pp. 322-526. | Zbl | MR
22. , , , Combinatorial group theory, Interscience Publishers, 1966. | Zbl
23. , On certain classes of infinite solvable groups, Mat. Sb., 1951, 28, pp. 567-598. | MR
24. , , Groups, the theory of ends, and context-free languages, J. Comput. System Sci., 1983, 26, pp. 295-310. | Zbl | MR
25. , The complexity of computing, John Wiley, New York, 1976. | Zbl | MR
26. , Word problems for groups and contextfree recognition, in: Proc. FCT79, Akademie-Verlag, Berlin, 1979. | Zbl | MR
27. , Representations of polycyclic groups, Proc. Amer. Math. Soc., 1967, 18, pp. 573-574. | Zbl | MR
28. , Free subgroups in linear groups, J. Algebra, 1972, 20, pp. 250-270. | Zbl | MR
29. , Complexity, combinatorial group theory and the language of pulatators, Theoret. Comput. Sci., 56, 1988, pp. 253-275. | Zbl | MR
30. , Tape complexity of word problems, in: Proc. FCT'81, Lecture Notes in Comput. Sci., 1981, 117, Springer-Verlag, Berlin, pp. 467-471. | Zbl | MR
31. , Tape complexity of word problems, TR IMATH der AdW der DDR, Berlin 1981. | Zbl | MR
32. , Raumkomplexität von Wortproblemen endlicher Gruppenpräsentationen, Dissertation A, Berlin 1983.
33. , The parallel complexity of some constructions in combinatorial group theory, J. Inf. Process. Cybern., 1990, 26, 5/6, pp. 265-281. | Zbl | MR
34. , The complexity of boolean functions, Wiley-Teubner Series in Comput. Sci., 1987. | Zbl | MR
35. , Infinite linear groups, Springer-Verlag, New York, 1973. | Zbl | MR
36. , , Commutative algebra I, II, Van Nostrand, Princton, 1958, 1960. | Zbl





