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The ordinary character table and the character table of rational representations (c.t.o.r.r.) for projective special linear groups are calculated in this work to find the periodical split for each group. [ABSTRACT FROM AUTHOR]

The periodic segmentation for the groups are calculated in this work from the ordinary character table and the character table of rational representations for each group. [ABSTRACT FROM AUTHOR]

The periodical slit and Artin indicator for the special linear group SL(2,49) from the induced character from the cyclic subgroups for the group after we calculate the irreducible rational representations of the group is computed in this work. [ABSTRACT FROM AUTHOR]

The complexness for the sequence of the Weyl module for characteristic zero for the partition (7, 7, 4; 0, 0) discussed in this work. [ABSTRACT FROM AUTHOR]

As an employing of the resolution of two-rowed Weyl module, this article describes new and important applied method to survey the exactness of the Weyl resolution of the sequence of the terms of the characteristic-free resolution in the skew shape (8,8)/(1,0) after find the terms of the characteristic-free resolution of this case and define the homotopies ; where i = 0, 1, 2, ... , 6 of this case and prove that there are contracting homotopy by satisfy the condition [ABSTRACT FROM AUTHOR]

In this work, we prove by employing mapping Cone that the sequence and the subsequence of the characteristic-zero are exact and subcomplex respectively in the case of partition (6,6,4) . [ABSTRACT FROM AUTHOR]

In this work, we compute the geometric construction of surface complete (k, r)-cap in projective 3-space PG(3, 8). We compute the maximum (k, z)-caps, where z = 2, 3, 4, 5, 6, 7, 8 and 9. [ABSTRACT FROM AUTHOR]