Abelian group
Perpendicularity in an Abelian Group
... In an inner product space, perpendicularity obviously traces back to the inner product being zero. However, certain features of this perpendicularity can be shifted down to simpler algebraic structures. We will define ...
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Results on Exhaustion Sets in Abelian Group
... As previously mentioned, knowing the charac- ter values of a group ring element can assist us to recover the group ring element. In this section, we state some well-known results from (Beth et al., 1999, ...
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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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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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On the computation of the structure of an Abelian group represented by a set of defining relations
... abelian group G represented by a matrix C, is finite or infinite in os3 Ms2 elementary operations... ]IINII'E GzuUPS s*.[r] ...
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A New Signature Scheme Define over a Class of Non-Abelian Group
... Many public key encryption schemes are remained secure based on the hardness of some mathematical problems in a large and finite abelian group (more precisely, finite cyclic groups) (Fiat et al. 1986; ...
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A nilpotent non abelian group code
... a group G of order 2 6 and an ideal C E F 3 G that is not an abelian group ...an abelian decomposition, so this is the smallest possible example for non abelian nilpotent group ...
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Abelian group factorization from perfect codes
... and abelian group ...an abelian group factorization of certain ...obtain abelian group factorization of a 2–group of order 2 23 and the ternary Golay code to obtain ...
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Generalized continuous wavelet transform on locally compact abelian group
... LCA group G is called a character of G if ( ) x = 1 for all x G and if the functional equation ( x + y ) = ( ) ( ) x y for all ( ) x y , G is satisfied ...a group , the dual group of G ...
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Abelian group in a topos of sheaves: torsion and essential extensions
... in the category AbShL of Abellan groups in a topos of sheaves on a We show that every torsion group is a direct sum of its p-prlmary components and for a torsion group A, the group [A,B][r] ...
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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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Grothendieck groups of abelian group rings
... As in the previous section, we denote by ^"(π) the set of cyclic factor groups of π, and for QeX(n) we identify the /ite)-modules with the Απ-modules annihilated by the kernel of t[r] ...
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On central endomorphisms of a group
... factor group G ′ C/G ′ is infinite and hence G ′ ∩ C = { 1 } ...finite group F ...non-abelian group such that Z (G) or G/G ′ is periodic with finite abelian section rank, then every ...
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Banach algebra amenability and group algebras
... Now, since locally compact Abelian groups are amenable, a commutative Banach algebra 21 has property G if and only if there is a locally compact Abelian group G and a dense-ranged homomo[r] ...
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Representations of group rings and groups
... 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 diagonalises any ...
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The double transitivity of a class of permutation groups
... every abelian group of composite order which has at least one cyclic Sylow subgroup is a B-group.. generalized the Burnside result.[r] ...
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On soluble groups whose subnormal subgroups are inert
... dihedral group G on an abelian group A is a group G = ⟨x⟩ ⋉ A where x acts faithfully on A as the inversion ...a group A is said a power automorphism if and only if γ maps each subgroup ...
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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 theorem. ...
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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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The Dade group of a fusion system
... Dade group of P is the group of equivalence classes of capped endo-permutation kP -modules, with product induced by the tensor product over ...this group is the class of its k-dual M ∗ . The Dade ...
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