AbstractWe construct a Sylow p-subgroup of the Betti-Mathieu group by characterizing a certain type of polynomial through the use of the trace function and a normal basis over a finite field. It follows from this that a complete lattice of normal subgroups of the Sylow p-subgroup under inclusion will be determined together with an explicit polynomial representation of the normal subgroups
In this paper unless otherwise stated the letter represents a fixed prime number. The concept of p- ...
AbstractLetFbe a finite field. We apply a result of Thierry Berger (1996,Designs Codes Cryptography,...
Let X be any finite classical group defined over a finite field of characteristic p > 0. In this ar...
AbstractWe enumerate and describe the Sylow p-groups of the groups of polynomial permutations of the...
Given a set r of permutations of an n-set, let G be the group of permutations generated by r. If p i...
The determination of polynomials over ℚ(t) with a given primitive nonsolvable permutation group of d...
AbstractWe exhibit an order-preserving surjection from the lattice of subgroups of a finite abelianp...
AbstractGiven a set Γ of permutations of an n-set, let G be the group of permutations generated by Γ...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
AbstractWe describe a technique for determining the set-transitivity of the Galois group of a polyno...
In this note, we give a self-contained proof of the following classification (up to conjugation) of...
The ability of construct the Sylow subgroups of a large finite permutation or matrix group is fundam...
We prove that a finite group G has a normal Sylow p-subgroup P if, and only if, every irreducible ch...
AbstractThe finite group G is said to have p-length 1 if there exist normal subgroups H ⊆K ⊆G such t...
In this paper unless otherwise stated the letter represents a fixed prime number. The concept of p- ...
AbstractLetFbe a finite field. We apply a result of Thierry Berger (1996,Designs Codes Cryptography,...
Let X be any finite classical group defined over a finite field of characteristic p > 0. In this ar...
AbstractWe enumerate and describe the Sylow p-groups of the groups of polynomial permutations of the...
Given a set r of permutations of an n-set, let G be the group of permutations generated by r. If p i...
The determination of polynomials over ℚ(t) with a given primitive nonsolvable permutation group of d...
AbstractWe exhibit an order-preserving surjection from the lattice of subgroups of a finite abelianp...
AbstractGiven a set Γ of permutations of an n-set, let G be the group of permutations generated by Γ...
AbstractA subgroup H of a group G is said to permute with the subgroup K of G if HK=KH. Subgroups H ...
AbstractLet Gp be a Sylow p-subgroup of the finite group G and let CharnG(Gp) represent the set of d...
AbstractWe describe a technique for determining the set-transitivity of the Galois group of a polyno...
In this note, we give a self-contained proof of the following classification (up to conjugation) of...
The ability of construct the Sylow subgroups of a large finite permutation or matrix group is fundam...
We prove that a finite group G has a normal Sylow p-subgroup P if, and only if, every irreducible ch...
AbstractThe finite group G is said to have p-length 1 if there exist normal subgroups H ⊆K ⊆G such t...
In this paper unless otherwise stated the letter represents a fixed prime number. The concept of p- ...
AbstractLetFbe a finite field. We apply a result of Thierry Berger (1996,Designs Codes Cryptography,...
Let X be any finite classical group defined over a finite field of characteristic p > 0. In this ar...
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