Groups having a faithful irreducible representation
نویسندگان
چکیده
منابع مشابه
Minimal Faithful Permutation Degrees for Irreducible Coxeter Groups
The minimal faithful degree of a finite group G, denoted by μ(G), is the least non-negative integer n such that G embeds inside Sym(n). In this article we calculate the minimal faithful permutation degree for all of the irreducible Coxeter groups.
متن کاملFinite Groups with a Faithful Real-valued Irreducible Character Whose Square Has Exactly Two Distinct Irreducible Constituents
We study the groups satisfying the property stated in the title.
متن کاملA representation for some groups, a geometric approach
In the present paper, we are going to use geometric and topological concepts, entities and properties of the integral curves of linear vector fields, and the theory of differential equations, to establish a representation for some groups on $R^{n} (ngeq 1)$. Among other things, we investigate the surjectivity and faithfulness of the representation. At the end, we give some app...
متن کاملSurface Groups are Frequently Faithful
We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL2(K) representation variety, where K = C or R, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2, 1) with certain nonintegral Toledo invariants.
متن کاملIrreducible Numerical Semigroups Having Toms Decomposition
In this paper we prove that if S is an irreducible numerical semigroup and S is generated by an interval or S has multiplicity 3 or 4, then it enjoys Toms decomposition. We also prove that if a numerical semigroup can be expressed as an expansion of a numerical semigroup generated by an interval, then it is irreducible and has Toms decomposition.
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: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2015.12.030