Groups and nilpotent Lie rings whose order is the sixth power of a prime

Journal of Algebra

Volumn 278, Issue 1, 2004, Pages 383-401

  Newman, M F ^a   O'Brien, E A ^b   Vaughan Lee, Michael R ^c  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

^c CHRIST CHURCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242667182     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2003.11.012     Document Type: Article

References (36)

1. Bahturin Yu.A. Identical Relations in Lie Algebras 1987 VNU Science Press
2. Bagnera G. La composizione dei Gruppi finiti il cui grado è la quinta potenza di un numero primo Ann. Mat. Pura Appl. (3) 1 1898 137-228
3. n, for n≤6, BSc thesis, Australian National University, 1987
4. 5 Ann. of Math. (2) 29 1927 61-72
5. Blackburn N. On a special class of p-groups Acta Math. 100 1958 45-92
6. Besche H.U. Eick B. O'Brien E.A. A millennium project: constructing small groups Internat. J. Algebra Comput. 12 2002 623-644
7. Bosma W. Cannon J. Playoust C. The Magma algebra system I: The user language J. Symbolic Comput. 24 1997 235-265
8. Bourbaki N. Groupes et Algèbres de Lie. Chapitre II: Algèbres de Lie libres. Chapitre III: Groupes de Lie Éléments de mathématique Fasc. XXXVII 1972 Hermann Paris Actualités Sci. Industr. No. 1349
9. 11 Illinois J. Math. 2 1958 641-717
10. Burnside W. Theory of Groups of Finite Order second ed. 1911 Cambridge Univ. Press reprinted by Dover New York
11. de Séguier J.-A. Théorie des groupes finis. Éléments de la théorie des groupes abstraits 1904 Gauthier-Villars Paris
12. 6, PhD thesis, Cambridge University, 1940
13. Eick B. O'Brien E.A. Enumerating p-groups J. Austral. Math. Soc. Ser. A 67 1999 191-205
14. The GAP Group GAP-Groups, Algorithms, and Programming, Version 4.3, 2002 http://www.gap-system.org
15. Hall P. The classification of prime-power groups J. Reine Angew. Math. 182 1940 130-141
16. n (n≤6) 1964 Macmillan New York
17. Havas G. Newman M.F. Vaughan-Lee M.R. A nilpotent quotient algorithm for graded Lie rings J. Symbolic Comput. 9 1990 653-664
18. Jacobson N. Lie Algebras 1962 Wiley-Interscience New York
19. 6 (p≥3), PhD thesis, University of Sydney, 1968
20. 6 (p an odd prime) Math. Comp. 34 1980 613-637
21. James R. Newman M.F. O'Brien E.A. The groups of order 128 J. Algebra 129 1 1990 136-158
22. Küpper A.M. Enumeration of some two-generator groups of prime power order, Master's thesis, Australian National University, 1979
23. Miller G.A. The regular substitution groups whose orders are less than 48 Quart. J. Math. 28 1896 232-284
24. Miller G.A. Determination of all the groups of order 64 Amer. J. Math. 52 1930 617-634
25. Newman M.F. Determination of groups of prime-power order Group Theory Canberra, 1975 In: Lecture Notes in Math. vol. 573 1977 78-84 Springer-Verlag Berlin
26. Newman M.F. O'Brien E.A. Application of computers to questions like those of Burnside, II Internat. J. Algebra Comput. 6 1996 593-605
27. O'Brien E.A. The p-group generation algorithm J. Symbolic Comput. 9 1990 677-698
28. O'Brien E.A. Isomorphism testing for p-groups J. Symbolic Comput. 17 1994 133-147
29. 6, p>3 Linear Algebra and the Theory of Representations 1983 86-89 Akad. Nauk Ukrain. SSR, Inst. Mat. Kiev
30. 6 (p>3) 1983 Vseross. Inst. Nauchn. i Tekhn. Inform. (VINITI) Moscow Deposit No. 1877-83 (in Russian)
31. Pilyavskaya O.S. Application of the theory of matrix problems to some questions in the theory of finite p-groups, Candidate's dissertation in physical-mathematical sciences, Kiev, 1989
32. 6, PhD thesis, Gauthier-Villars, Paris, 1904
33. Schreier O. Über die Erweiterung von Gruppen. II Abh. Math. Sem. Univ. Hamburg 4 1926 321-346
34. Sims C.C. Computation with finitely presented groups 1994 Cambridge Univ. Press
35. 6, p an odd prime, PhD thesis, University of Illinois (Urbana), 1939
36. Vaughan-Lee M.R. The Restricted Burnside Problem second ed. London Math. Soc. Monogr. (N.S.) vol. 5 1993 Oxford Univ. Press Oxford