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The number of k-potent elements in the quaternion algebra HZp

Published 3 Dec 2024 in math.RA | (2412.02652v1)

Abstract: In this paper we count the number of k-potent elements over HZp , the quaternion algebra over Zp, and we give a descriptive formula for the general case. For k in {3, 4, 5}, we give an explicit formula for these values. Moreover, as an application, we count the number of solutions of the equation xk = 1 over HZp .

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Authors (2)

  1. Cristina Flaut 
  2. Andreea Baias 

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