Geodesic
A Note on d-Groups
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 410-412

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

This note concerns subgroups of the general linear group GL(n, F), where n is finite and F algebraically closed, g ∈ GL(n, F) is called a d-element if there exists an x ∈ GL(w, F) such that x–1gx is diagonal, and a u-element if (g — 1)n = 0. A subgroup G of GL(n, F) is called a d-group (or a u-group) if every element of G is a d-element (or a u-element). In view of the Jordan decomposition of the elements of GL(n, F) into products of d-elements and u-elements it is important to know the structure of d-groups and u-groups, u-groups present very little difficulty and their structure is well known (1, 19.4), but d-groups seem to have a more complicated structure. 
Wehrfritz, B. A. F. A Note on d-Groups. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 410-412. doi: 10.4153/CJM-1967-032-7
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