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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1975 Volume 96(138), Number 1, Pages 63–74 (Mi sm3088)

This article is cited in 21 papers

Representations of dihedral groups over a field of characteristic 2

V. M. Bondarenko


Abstract: In this paper there is given a complete classification of the representations of the group $(2)*(2)$ (where $*$ denotes the free product) and the finite dihedral groups over a field of characteristic 2. These results follow from the solution of the problem of classifying to within similarity pairs of matrices $A,B$ (over a field) for which $A^2=0$, $B^2=0$.
Bibliography: 5 titles.

UDC: 519.443

MSC: 15A21, 20C20, 20C30

Received: 02.07.1973


 English version:
Mathematics of the USSR-Sbornik, 1975, 25:1, 58–68

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