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On a Class of Finite Rings of Characteristic p 2

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Abstract

A class of finite local rings of characteristic p2 is here analyzed and classified up to isomorphism, this being a natural analogue of a class of rings of characteristic p already treated by B. Corbas and the author. The solution amounts to determining the orbits of certain groups of similitudes acting on M2(Fp). The determination of this class of rings is a cornerstone in a forthcoming complete classification of all finite rings of order pn (n ≤ 5).

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References

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  2. B. CORBAS and G. D. WILLIAMS, Rings of order p5, Part II: Local rings. J.Algebra (2000), to appear.

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  1. Department of Mathematics, University of Reading, Reading, RG6 6AX, England

    Graham D. Williams

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  1. Graham D. Williams
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Correspondence to Graham D. Williams.

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Williams, G.D. On a Class of Finite Rings of Characteristic p 2 . Results. Math. 38, 377–390 (2000). https://doi.org/10.1007/BF03322018

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  • DOI: https://doi.org/10.1007/BF03322018

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