منابع مشابه
rational subsets of finite groups
we characterize the rational subsets of a finite group and discuss the relations to integral cayley graphs.
متن کاملWhen Do Random Subsets Decompose a Finite Group?
Let A, B be two random subsets of a finite group G. We consider the event that the products of elements from A and B span the whole group; i.e. {AB ∪ BA = G}. The study of this event gives rise to a group invariant we call Θ(G). Θ(G) is between 1/2 and 1, and is 1 if and only if the group is abelian. We show that a phase transition occurs as the size of A and B passes p Θ(G)|G| log |G|; i.e. fo...
متن کاملFinite Subsets of Grassmannians
Let A be a subvariety of affine space A whose irreducible components are d-dimensional linear or affine subspaces of A. Denote by D(A) ⊂ N the set of exponents of standard monomials ofA. Using the Hilbert function, we show thatD(A) contains as many subspaces of dimension d as A contains irreducible components. We refine this result in various ways. Firstly, we specify the directions into which ...
متن کاملRational Subsets of Finite Groups
We characterize the rational subsets of a finite group and discuss the relations to integral Cayley graphs.
متن کاملClassifying fuzzy normal subgroups of finite groups
In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1969
ISSN: 0019-2082
DOI: 10.1215/ijm/1256053747