Combinatorial designs and finite group theory form a rich intersection of discrete mathematics and algebra, where structured arrangements of elements are studied alongside the algebraic properties of ...

The Rocky Mountain Journal of Mathematics, Vol. 41, No. 6 (2011), pp. 1987-2000 (14 pages) Commutativity degree of a finite group is the probability that the commutator of two arbitrarily chosen group ...

Group theory serves as a fundamental language for describing symmetry in both mathematics and physics. Finite groups, defined by their limited number of elements, are central to modern algebra and ...

This is a preview. Log in through your library . Abstract If $L$ is a lattice, the automorphism group of $L$ is denoted $\mathrm{Aut}(L)$. It is known that given a ...

The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the ...

Abstract: Lagrange?s Theorem, which is one of the most important theorems in finite group theory states that the order of a subgroup H of a finite group G divides the order of G. In this project, we ...

In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were ...