abelian groups
Factorial design and Abelian groups
... The theory of finite Abelian groups is used to simplify the search for, and construction of, factorial designs.. Much of this work is concerned with fractional r[r] ...
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Geometrical representation of automata over some abelian groups
... over groups extend the possibilities of finite automata and allow studying the properties of groups using finite ...some Abelian groups ℤ n and ℤ n × ℤ n ...
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Computational problems in the theory of Abelian groups
... abstract abelian groups represented by a set of generators and the upper bound of 0 (lo g c |G|) fo r some constant on the time required f o r s im ila r computations in abelian permutation ...
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On component extensions locally compact abelian groups
... Abstract. Let £ be the category of locally compact abelian groups and A, C ∈ £. In this paper, we define component extensions of A by C and show that the set of all component extensions of A by C forms a ...
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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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Cohomologies of finite abelian groups
... of groups was inspired by the works of Hurewicz on cohomologies of acyclic spaces and was founded in 1940’s by Eilenberg–MacLane, Eckmann, Hopf and ...concrete groups and their ...finite abelian ...
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Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups
... A for arbitrary cubic Cayley graphs of 2-power order, also Li and Sim solved the problem A for metacyclic p-groups with prime p (see [11]). In the present paper, it is proved that for most finite minimal ...
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Splitting of extensions in the category of locally compact abelian groups
... abelian groups. Let ∅ be the category of all divisible, locally compact abelian (LCA) ...σ−compact groups X in ∅ if and only if G = R n ⊕ ...
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Certain finite abelian groups with the Redei $k$-property
... finite abelian group can possess the R´ edei ...finite abelian groups such that if G is a member of one of these families, then G has the R´ edei k-property for each k with 2k > ...finite ...
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SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS
... not abelian for ...to abelian groups; Sv- aba, Trung and Wolf developed some algorithms to factorize the fused transver- sal logarithmic signatures ...solvable groups, which is the ...
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On the cotypeset of torsion-free abelian groups
... [8] R. S. Lafleur, Typesets and cotypesets of finite-rank torsion-free abelian groups, Contemp. Math., 171, Amer. Math. Soc., Providence, RI, 1994, 243-256. [9] C. Metelli, Coseparable torsion-free ...
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Hard Metrics from Cayley Graphs of Abelian Groups
... non-Abelian groups, there exist Cayley graphs with a bounded number of generators, and a constant spectral gap (see, ...For Abelian groups such construction is impossible, since in order to ...
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Triple factorization of non-abelian groups by two maximal subgroups
... Abstract. The triple factorization of a group G has been stud- ied recently showing that G = ABA for some proper subgroups A and B of G, the definition of rank-two geometry and rank-two coset geometry which is closely ...
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On continuous cohomology of locally compact Abelian groups and bilinear maps
... an abelian topological group and B a trivial topological ...every abelian group can be embedded in a central extension of abelian groups with bilinear ...compact abelian groups a ...
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Computable Torsion Abelian Groups
... We briefly discuss the proofs of Theorems 1.4 and 1.3. There have been enough argu- ments in recursion theory exploiting the failure of a diagonalisation attempt, the most closely related examples can be found in ...
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Balanced subgroups of Abelian groups
... Warfield [1] was able to overcome this difficulty for modules over Z^ (recall that these are just Abelian groups which are t^-divisible for all primes q + p ). He showed that every balanced projective ...
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Factoring finite abelian groups
... finite abelian groups it is usual to ask under what conditions one of the factors must be ...cyclic groups, the more general result holds [8] that if each factor has prime power order then one factor ...
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A transfinite generalisation of a combinatorial problem on abelian groups.
... First we note the obvious fact t hat neither the existence nor the value of y(G,A) will change if we replace G by any subgroup containing A; we take, in particular, the subgroup generate[r] ...
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Some properties of torsion classes of abelian groups
... In Section 2 we consider some further examples of torsion classes determined by torsionfree groups and show that these may have quite distinct representations, for instance a group of ra[r] ...
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Bracket Products on Locally Compact Abelian Groups
... The φ-bracket product is useful in two ways. First it is a unified approach to all the bracket products mentioned above, on . Secondly, it is applicable to extend many ideas and constructions from the theory of ...
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