论文信息 - The groups of order 128

The groups of order 128

Abstract A computer assisted determination of the 2328 groups of order 128 and of their 115 isoclinism families is described. Previous work by Rodemich on these groups is corrected. The provision of access to the group descriptions obtained is discussed.

[1] A. Lunn,et al. Determination of the Groups of Orders 162-215 Omitting Order 192 , 1935 .

[2] P. Hall,et al. The classification of prime-power groups. , 1940 .

[3] Michio Suzuki. Group Theory I , 1981 .

[4] E. R. Rodemich,et al. The groups of order 128 , 1980 .

[5] J. W. Wamsley,et al. Minimal presentations for groups of order 2n, n ≤ 6 , 1973, Journal of the Australian Mathematical Society.

[6] Michael C. Slattery,et al. Computing Character Degrees in p-Groups , 1986, J. Symb. Comput..

[7] Cayley. Desiderata and Suggestions: No. 1. The Theory of Groups , 1878 .

[8] I. Isaacs. Character Theory of Finite Groups , 1976 .

[9] George Havas,et al. A computer aided classification of certain groups of prime power order , 1977, Bulletin of the Australian Mathematical Society.

[10] E. A. O'Brien,et al. A CAYLEY library for the groups of order dividing 128 , 1989 .

[11] A. Lunn,et al. Determination of the Groups of Orders 101-161, Omitting Order 128 , 1934 .

[12] Marshall Hall,et al. The Groups of Order 2 n (n ≦6) , 1965 .

[13] J. W. Wamsley,et al. On computing the minimal number of defining relations for finite groups , 1973 .

[14] M. L. Sylow. Théorèmes sur les groupes de substitutions , 1872 .

[15] M. F. Newman,et al. Determination of groups of prime-power order , 1977 .

[16] Edward Anthony O'Brien,et al. The groups of order dividing 256 , 1989, Bulletin of the Australian Mathematical Society.