Tetrabonacci Subgroup of the Symmetric Group
over the Magic Squares Semigroup

Babayo A.M.; G.U.Garba

doi:https://doi.org/10.14445/22315373/IJMTT-V16P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P508

Tetrabonacci Subgroup of the Symmetric Group over the Magic Squares Semigroup

Babayo A.M., G.U.Garba

Abstract

By the Loubere Magic Squares, we understand the set of magic squares constructed with the De La Loub Procedure. It is seemingly very close to triviality that this set equipped with the matrix binary operation of addition forms a semigroup if the underlining set or multi set so considered in the square is of the natural numbers. In this paper, we introduce the permutation and its composition over the Loub Magic Squares Semigroup logically to form a subgroup of the Symmetric Group which by analogy to the Fibonacci Group is termed the Tetrabonacci Group. We also present a new definition, a new procedure and a new generalization of the Loubere.

Keywords

Permutations, Sequences, Cycles, Effects, Groups, Semigroups

References

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Citation :

Babayo A.M., G.U.Garba, "Tetrabonacci Subgroup of the Symmetric Group over the Magic Squares Semigroup," International Journal of Mathematics Trends and Technology (IJMTT), vol. 16, no. 1, pp. 46-51, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P508