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Congruence of
two-dimensional subspaces in M2(K) (characteristic ≠2)
B. Corbas and G.D. Williams |
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Vol. 188 (1999), No. 2, 225–235
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Abstract |
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The structure and classification up to isomorphism of a naturally arising class of local rings is determined. Although we are primarily interested in the case of a finite residue field K, our results apply in fact over any field K of characteristic ≠2. The problem is shown to be equivalent to that of classifying two-dimensional subspaces of M2(K) up to congruence, and it is in these terms that the question is addressed. |
Milestones
Received: 6 June 1997
Published: 1 March 1999
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Authors |
| B. Corbas | |
| University of Reading Reading RG6 6AX England |
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| G.D. Williams | |
| University of Reading Reading RG6 6AX England |
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