A Bound on the Order of Non-Abelian Tensor Square of a Prime-Power Group

Supertropical matrix theory was investigated in 6 Izhakian , Z. , Rowen , L. ( 2011 ). Supertropical matrix algebra III: powers of matrices and their supertropical eigenvalues . Journal of Algebra 341 ( 1 ): 125 – 149 .Crossref], Web of Science ®] , Google Scholar]], whose terminology we follow. In this work we investigate eigenvalues, characteristic polynomials and coefficients of characteristic polynomials of supertropical matrices and their powers, and obtain the analog to the basic property of matrices that any power of an eigenvalue of a matrix is an eigenvalue of the corresponding power of the matrix.