Abelian by finite groups are almost convex
Factorization numbers of finite abelian groups
... of groups with a finite number of factorizations is of some interesting combinatorial flavor, for if we are able to compute the factorization number of a group in two different ways, then we may obtain ...
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Explicit construction of universal sampling sets for finite Abelian and symmetric groups
... 1.2 Results over Arbitrary Finite Groups Assume that t ≥ 2. The next two theorems shows that how the problem of constructing sampling pairs (Ω, Γ) with Ω ⊆ Irr(G) of size t or universal sampling sets for t ...
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Non-Abelian Sequenceable Groups Involving ?-Covers
... sequenceable groups which was posed firstly in [2], inspired us to give the Definition ...which groups are sequenceable? And how applicable may be the sequenceability of finite ...
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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 ...
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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 where the ...
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The Laplacian coflow on almost-abelian Lie groups
... © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract We find explicit solutions of the Laplacian coflow of G 2 -structures on seven- dimensional ...
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Power graph of finite abelian groups
... Introduction The study of algebraic structures using the properties of graphs be- comes an exciting research topic in the last twenty four years, leading to many fascinating results and questions. There are many papers ...
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Representation theory of finite abelian groups
... [4.2] Remark: What are we not doing? The theorem asserts nothing directly about the collection b G of characters of G. Its proof uses no information about these characters. Its proof uses nothing about the structure ...
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Degenerations and orbits in finite abelian groups
... ( τ i j − τ i j +1 − 1 ). (2) In this formula, the summand corresponding to k = 0 is taken as 1. When p = 2, the map taking each element in A p ,λ to the smallest characteristic subgroup containing it is a bijection ...
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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 ...dihedral groups and shows that it tends to 1/4 as the order of the group tends to ...of ...
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SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS
... (4) Block replacement. Replace block A i with gA i where g is an element of G, such that: gA i ∩ A j = ∅, for all i 6= j. There are some differences between fused operations of logarithmic signature and QLS. For ...
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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 Abelian ...
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Certain finite abelian groups with the Redei $k$-property
... no finite abelian group can possess the R´ edei ...of 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 ...
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CiteSeerX — UNIT GROUPS OF INTEGRAL FINITE GROUP RINGS WITH NO NONCYCLIC ABELIAN FINITE SUBGROUPS
... We will apply this by means of the following formula relating ranks of an idem- potent to arithmetical properties of the group. Corollary 6. Suppose that for a prime divisor p of the order of G, all elements of order p ...
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Pseudo-Free Families of Finite Computational Elementary Abelian $p$-Groups
... elementary abelian p-group if G is abelian and pg = 0 for any g ∈ ...for abelian groups.) In fact, elementary abelian p-groups are the same as vector spaces over the field Z p ...
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On strongly almost \(m\)-\(\omega_1\)-\(p^{\omega+n}\)-projective abelian \(p\)-groups
... Let all groups considered in this paper be p-primary abelian, for some arbitrary fixed prime p. Besides, everywhere in the text, m and n are arbitrary integers greater than or equal to {0}. Our notions and ...
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Computable Torsion Abelian Groups
... But is Theorem 1.3 really a description of c.c. TAGs? We conjecture that one cannot obtain a criterion significantly better than the one in Theorem 1.3. First of all, Theo- rem 1.4 shows that the syntactical complexity of ...
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TRANSFORMING TREES INTO ABELIAN GROUPS
... INTO ABELIAN GROUPS Alexander ...torsion-free abelian groups which proved to be useful in effective ...of finite trees having all leaves at the same level, the resulting groups ...
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Non-Abelian finite gauge theories
... this corresponds in general to some ZZ k action on the conjugacy classes. This implies that our a ij for this choice of 1 will be the Kronecker product of matrices obtained from the cyclic groups which offer us ...
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2-blocks with abelian defect groups
... 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 arbitrary abelian 2- ...defect ...
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