Geodesic
Conjugacy classes in sylow p-subgroups of GL(n, q), IV†
Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 91-96

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we give new information about the conjugacy vector of the group , the Sylow p-subgroup of GL(n, q) consisting of the upper unitriangular matrices. The first two components of this vector are given in [4]. Here, we obtain the third component, that is, the number of conjugacy classes whose centralizer has qn+l elements. Besides, we give the whole set of numbers which compose this vector: 
Vera-López, A.; Arregi, J. M. Conjugacy classes in sylow p-subgroups of GL(n, q), IV†. Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 91-96. doi: 10.1017/S0017089500030597
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[1] 1.Higman, G., Enumerating p-groups. I: Inequalities. Proc. London Math. Soc. (3) 10 (1960), 24–30. Google Scholar | DOI

[2] 2.Vera-López, A. and Arregi, J. M., Classes de conjugaison dans les p-sous-groupes de Sylow de GL(n, q). C. R. Acad. Sci. Ser. I. Math. 310 (1990), 81–84. Google Scholar

[3] 3.Vera-López, A. and Arregi, J. M., Conjugacy classes in Sylow p-subgroups of GL(n, q). J. Algebra 152, No. 1 (1992), 1–19. Google Scholar | DOI

[4] 4.Vera-López, A. and Arregi, J. M., Conjugacy classes in Sylow p-subgroups of GL(n, q), II. Proc. Roy. Soc. Edinburgh, 119A (1991), 343–346. Google Scholar | DOI

[5] 5.Vera-López, A. and Arregi, J. M., Classes de conjugaison dans les p-sous-groupes de Sylow de GL(n, q), III. (to appear). Google Scholar

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