The abelian case for some finite 2-groups
SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS
... are some differences between fused operations of logarithmic signature and ...applying finite fused operation, we will obtain another logarithmic signature ...specific case of permutation of elements ...
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Cohomologies of finite abelian groups
... c Journal “Algebra and Discrete Mathematics” Cohomologies of finite abelian groups Yuriy A. Drozd and Andriana I. Plakosh A b s t r ac t . We construct a simplified resolution for the trivial ...
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Factoring finite abelian groups
... Problem 2. If a group G is factorized as a sum of factors all of which have prime order apart from a single factor of order 6 or 9 must one of the factors be periodic? There is a reference above to an example ...
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Power graph of finite abelian groups
... [1, 2, 5, 8]. Also investigation of algebraic properties of groups or rings using the associated graph becomes an exciting ...for some positive integer ...
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Representation theory of finite abelian groups
... of finite-order operators Various natural hypotheses assure that V is a direct sum of T -eigenspaces, that is, that T is diagonalizable, as opposed to having any Jordan ...of finite order, that is, T n = 1 ...
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Degenerations and orbits in finite abelian groups
... Finite abelian groups Orbits Partial order A notion of degeneration of elements in groups is ...finite abelian group under its full automorphism group by a finite distributive ...of ...
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Factorization numbers of finite abelian groups
... for some subgroups A and B of G and such an expression is called a factorization of ...of groups has a very long history in the theory of finite and infinite groups in such a way that how the ...
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On some Abelian p-groups and their capability
... for 2-generator finite p- groups of odd order and class 2 was determined by Bacon and Kappe [6] in ...metacyclic groups by using nonabelian tensor square of the ...
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The multisubset sum problem for finite abelian groups
... a finite abelian group G with any given size and any given multiplicity such that the sum is equal to a given element g ∈ ...a finite abelian ...
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How To Factorize Of Finite Abelian Groups By A Cyclic Subset Of A Finite Group
... The set of elements on the list (3) is called a distorted cyclic subset of G. In this note distorted cyclic subsets in the form {e, a, a 2 , . . . , a r−2 , a r−1 d} will mainly appear. The following result ...
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COMMUTATIVITY DEGREES OF WREATH PRODUCTS OF FINITE ABELIAN GROUPS
... a finite group G let G denote the set of pairs of commuting elements of G: G = {(g , h) ∈ G × G | g h = h g ...|/|G| 2 measures the probability of two random elements of G com- muting and is called the ...
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Polyhedrons over Finite Abelian Groups and Their Cryptographic Applications
... The different questions on this method were investigated in [5, 6, 7]. We are using the group-theory methods for justification of algebraic method in cryptanalysis. We are considering the case of general ...
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Certain finite abelian groups with the Redei $k$-property
... A factorization is called normalized if each of its factors is a normalized subset. A subset A of G is defined to periodic if there is a g ∈ G \ {e} for which gA = A. A factorization is defined to be periodic if at least ...
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Some abelian-by-nilpotent varieties of p-groups
... lat (Ap^p2 ^ Sp2) is not distributive for all primes p ^ 3. For p = 2, however, his constructions failed so that the question of the distributivity of lat was left open. Here the method used is a generalization of ...
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Some properties of torsion classes of abelian groups
... We shall describe (ii) and (iii) by saying that the.. relevant class is closed under homomorphic images, subobjects respectively. Other closure properties for classes will be describe[r] ...
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Some special classes of n-abelian groups
... of G. Then (xy) n = x n y n for all x, y ∈ G, from which it follows [x n , y] = [x, y] n = [x, y n ]. It is also easy to see that a group G is n-abelian if and only if it is (1 − n)-abelian. The structure ...
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2-blocks with abelian defect groups
... of 2-blocks of quasi-simple groups with abelian defect ...elementary abelian 2-groups, and that the entries of the Cartan matrices are bounded in terms of the defect for ...
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Abelian subgroup separability of some one relator groups
... for some integer k = 0. Since the set M of all such exponents k is finite, we can choose an integer t > 0 such that for any k ∈ M, the inequality t > 2 | k | ...of groups X and Y/Y t ...
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Geometrical representation of automata over some abelian groups
... is finite automata, which determine whether a string belongs to a particular language or ...relation. Finite automata over groups extend the possibilities of finite automata and allow studying ...
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Intersection graph of subgroups of some non-abelian groups
... Keywords: Intersection graph, subgroups, non-abelian groups. 2010 MSC: 05C25, 05C10, 20F16. c 2012 MJM. All rights reserved. 1 Introduction There are several graphs associated with algebraic structures to ...
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