نتایج جستجو برای: irreducible subset

تعداد نتایج: 113284  

2010
Jarkko Kari Enrico Formenti Ivan Rapaport Siamak Taati

The Moore-Myhill Garden of Eden theorem asserts that a cellular automaton with finite alphabet over a free abelian group of rank 2 is surjective if and only if it is pre-injective. Here, pre-injectivity means that two configurations which coincide outside of a finite subset of the group must coincide everywhere if they have the same image under the cellular automaton. The Garden of Eden theorem...

2010
ROBERT GURALNICK FLORIAN HERZIG RICHARD TAYLOR JACK THORNE

Let l be a prime, and let Γ be a finite subgroup of GLn(Fl) = GL(V ). With these assumptions we say that Condition (C) holds if for every irreducible Γ-submodule W ⊂ ad V there exists an element g ∈ Γ with an eigenvalue α such that tr eg,αW 6= 0. Here, eg,α denotes the projection to the generalised α-eigenspace of g. This condition arises in the definition of adequacy in section 2. Let Γ denote...

2011
ROBERT GURALNICK FLORIAN HERZIG RICHARD TAYLOR JACK THORNE

Let l be a prime, and let Γ be a finite subgroup of GLn(Fl) = GL(V ). With these assumptions we say that Condition (C) holds if for every irreducible Γ-submodule W ⊂ ad V there exists an element g ∈ Γ with an eigenvalue α such that tr eg,αW 6= 0. Here, eg,α denotes the projection to the generalised α-eigenspace of g. This condition arises in the definition of adequacy in section 2. Let Γ denote...

2005
Damian Rössler

The generalized Mordell-Lang conjecture (GML) is the statement that the irreducible components of the Zariski closure of a subset of a group of finite rank inside a semi-abelian variety are translates of closed algebraic subgroups. In [6], M. McQuillan gave a proof of this statement. We revisit his proof, indicating some simplifications. This text contains a complete elementary proof of the fac...

‎In this paper‎, ‎we characterize and find the number of subdirectly‎ ‎irreducible acts over some classes of semigroups‎, ‎such as zero‎ ‎semigroups‎, ‎right zero semigroups‎ ‎and strong chain of left zero semigroups.

Journal: :bulletin of the iranian mathematical society 2013
r. shen w. j. shi j. shi

a finite group g is said to be a pos-group if for each x in g the cardinality of the set {y in g | o(y) = o(x)} is a divisor of the order of g. in this paper we study the structure of pos-groups with some cyclic sylow subgroups.

Journal: :bulletin of the iranian mathematical society 0
r. shen department of mathematics, hubei university for nationalities, enshi, hubei province, 445000, p. r. china w. j. shi j. shi lmam & school of mathematical sciences, peking university, beijing, 100871, p. r. china

a finite group g is said to be a pos-group if for each x in g the cardinality of the set {y in g | o(y) = o(x)} is a divisor of the order of g. in this paper we study the structure of pos-groups with some cyclic sylow subgroups.

Journal: :bulletin of the iranian mathematical society 0
v. dabbaghian simon fraser university

0

Journal: :wavelets and linear algebra 0
hossein momenaee kermani department of pure mathematics, faculty of mathematics and computer, shahid bahonar university of kerman

in this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. first, we give a generalization of guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. the firs...

Journal: :journal of linear and topological algebra (jlta) 0
m. y chreif department of matehmatics faculty of science beirut arab university beirut, lebanon p.o. box: 11-5020 m abdulrahim professor department of mathematics faculty of science beirut arab university p.o. box: 11-5020 beirut, lebanon

we consider a 2-dimensional representation of the hecke algebra h(g7; u), whereg7 is the complex re ection group and u is the set of indeterminatesu = (x1; x2; y1; y2; y3; z1; z2; z3):after specializing the indetrminates to non zero complex numbers, we then determine a nec-essary and sucient condition that guarantees the irreducibility of the complex specializationof the representation of the ...

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