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Properties of a matrix group associated to a {K,s+1}-potent matrix

2012

In a previous paper, the authors introduced and characterized a new kind of matrices called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are studied. Moreover, it is shown that the group is a semidirect product of Z_2 acting on Z_{(s+1)^2-1}. For some values of s, more specifications on the group are derived. In addition, some illustrative examples are given.

Semidirect productAlgebra and Number TheoryGroup (mathematics)Involutory matrixMatrius (Matemàtica)CombinatoricsAlgebraMatrix (mathematics)Matrix groupGroupInvolutory matrixÀlgebra linealMATEMATICA APLICADAMathematics{K s + 1}-potent matrix
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