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Proceedings of the American Mathematical Society

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Similarity of matrices over finite rings

Author: J. Pomfret
Journal: Proc. Amer. Math. Soc. 37 (1973), 421-422
MSC: Primary 15A21
MathSciNet review: 0309963
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Abstract: It is shown that questions of similarity of certain invertible matrices over a finite ring can be reduced to questions of similarity over finite fields through the application of canonical epimorphisms.

References [Enhancements On Off] (What's this?)

  • [1] Michael F. Atiyah and I. G. MacDonald, Introduction to commutative algebra, Addison-Wesley, Reading, Mass., 1969, p. 90. MR 39 #4129. MR 0242802 (39:4129)
  • [2] Marshall Hall, Jr., The theory of groups, Macmillan, New York, 1959. MR 21 #1996. MR 0103215 (21:1996)
  • [3] D. A. Suprunenko, On the conjugacy of matrices over a ring of residues, Dokl. Akad. Nauk USSR 8 (1964), 693-695. (Russian) MR 30 #3102. MR 0172886 (30:3102)

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Keywords: Similarity, finite local ring, finite solvable group
Article copyright: © Copyright 1973 American Mathematical Society

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