6533b7d6fe1ef96bd1266fb6
RESEARCH PRODUCT
Properties of a matrix group associated to a {K,s+1}-potent matrix
Néstor ThomeLeila Lebtahisubject
Semidirect productAlgebra and Number TheoryGroup (mathematics)Involutory matrixMatrius (Matemàtica)CombinatoricsAlgebraMatrix (mathematics)Matrix groupGroupInvolutory matrixÀlgebra linealMATEMATICA APLICADAMathematics{K s + 1}-potent matrixdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-01 |