Finite Abelian Group
Rational functions invariant under a finite abelian group
... Rational Functions Invariant under a Finite Abelian Group 301 the order of A, and Section 5 contains the proof of the main theorem.. Supplementary results are given in Section 6, and som[r] ...
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Characteristic Subgroups of a finite Abelian Group Z_n×Z_n
... In 1939, Baer [1] considered the following question “When two groups have isomorphic subgroups lattices?” Since this is a very difficult problem. Here authors consider a related question “When two groups have isomorphic ...
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On factorizations of finite abelian group which admit replacement of a Z set by a subgroup
... ON FACTORIZATIONS OF FINITE ABELIAN GROUPS WHICH ADMIT REPLACEMENT OF A Z-SET BY A SUBGROUP.. OBAID Department of Mathematics and Computer.[r] ...
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Inapproximability results for equations over infinite groups
... In this paper we study the simultaneous solvability of families of equations over infinite groups, which extends the study of the simultaneous solvability of families of equations over finite groups. Many natural ...
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Characterization of U1(Z[CnXK4])
... Let us denote Z A the integral group ring of a finite abelian group A with the coefficients from the ring of integers Z.. ∗ Corresponding author.[r] ...
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Modifying Shors algorithm to compute short discrete logarithms
... any finite abelian group, provided the group operation may be implemented efficiently using quantum ...the finite abelian hidden subgroup problem ...
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Class invariants for tame Galois algebras
... a finite abelian group G and a finite place p of K, all the possible splitting types which are “realizable” as splitting pattern of p in a G-Galois ...
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An extension and a generalization of Dedekind's theorem
... In this paper, we give factorizations of the group determinant for any given finite abelian group G in the group algebra of subgroups. The factorizations is an extension of Dedekind’s ...
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Automorphisms fixing subnormal subgroups of certain infinite soluble groups
... ABELIAN-BY-NILPOTENT GROUPS Recall from Chapter 5 our main result Theorem E, that if G is a finitely generated infinite metabelian group, then the group Autsn G is a finite Abelian group[r] ...
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Results on Exhaustion Sets in Abelian Group
... various abelian groups, see (Eliahou and Ker- vaire, 1998, 2005, 2006, 2010, Eliahou et ...of abelian groups, some recent results on sumsets in finite non-abelian groups (Eliahou and Kervaire, ...
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Representations of group rings and groups
... a finite abelian group Q an explicit matrix P is given which diagonalises any group ring matrix of ...the group ring matrices of the cyclic group and the Fourier matrix ...
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Describing units of integral group rings up to commensurability
... all finite groups G that do not have a non- commutative Frobenius complement as a quotient (it follows easy that under this condition QG has no non-commutative division ring as a simple ...
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Finite local nearrings with split metacyclic additive group
... then the nearring R is called zero-symmetric. In general, the set of all y ∈ R with 0 · y = 0 is a subnearring called the zero-symmetric part of R. Furthermore, R is a nearring with an identity i if the semigroup (R, ·) ...
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Factorization numbers of finite abelian groups
... A group G is factorized if G = AB for some subgroups A and B of G and such an expression is called a factorization of ...of finite and infinite groups in such a way that how the structure of subgroups in ...
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On central endomorphisms of a group
... Let G be a group. An endomorphism σ of G is said to be central if σ acts trivially on G/Z(G). Clearly, a central endomorphism of G is also normal, i.e., it commutes with every inner automorphism of G. Conversely, ...
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A natural boundary for the dynamical zeta function for commuting group automorphisms
... has finite topological dimension (that is, X is a solenoid), M is a subgroup of a finite-dimensional vector space over Q and we may use the method of canonical filtration described in Method ...
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The Dade group of (almost) extraspecial $p$ groups
... In this section, we consider all notations of the previous section, and we want to recall some essential facts concerning the Dade group of a finite p-group. Then, we will apply them to the ...
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Cohomologies of finite abelian groups
... any simple QG-module is defined by a group homomorphism ρ : G → K × , where K is a cyclotomic field and the image of ρ generates the ring of integers of K . Therefore, any two G-lattices in K are of the same genus ...
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Non-Abelian finite gauge theories
... gauge group, the fermionic and bosonic matter content resulting from the orbifolding of an N = 4 U (n) super-Yang-Mills ...arbitrary finite group ...
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ON THE SIMPLICITY OF PERMUTATION GROUPS
... the group itself. The Abeliansimple groups are the group of order 1and the cyclic groups of prime order, while the nonabeliansimple groups generally have very complicated ...in group theory somewhat ...
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