Maximal subsemigroups from the group of units
The Group of Units of Integral Group Rings of Extra-Special 2-Groups
... on group rings is to determine its group of ...the group of units of integral group rings of two extra-special 2-groups: one of order 32, the central product of two copies of D 4 , and ...
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ON DECOMPOSITIONS OF NORMED UNITS IN ABELIAN GROUP RINGS
... 1. Introduction Throughout this paper, let R be a commutative unitary ring of arbitrary characteristic and let G be an abelian multiplicative group. Besides, tradition- ally suppose RG is the group ring of ...
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ON THE STRUCTURE OF THE TORSION SUBGROUP OF THE GROUP OF UNITS OF A GROUP RING. Walter Lane. Stanley
... Berman 1, in 1953, proved that the group ring ZG has non-trivial units of finite order unless G is Abelian or Hamiltonian of order a power of two... His work, then, in conjunction with H[r] ...
Describing units of integral group rings up to commensurability
... additional units such that the group generated by B 1 and these additional units satisfies condition 2 of Proposition ...bicyclic units can be used for this purpose, but our main focus will ...
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The order of the second group of units of the ring Z[i]/
... The Euler Phi function, φ (n), has been generalized through different approaches and was stud- ied in many domains. In 1983, J.T Cross [1], extended the defintion of the Euler Phi function to the domain of Gaussian ...
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EGMONT GROUP OF FINANCIAL INTELLIGENCE UNITS PRINCIPLES FOR INFORMATION EXCHANGE BETWEEN FINANCIAL INTELLIGENCE UNITS
... Egmont Group agreed in its Charter and Statement of Purpose to pursue among its priorities the stimulation of information exchange and to overcome the obstacles preventing cross-border information ...Egmont ...
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Arithmetic rigidity and units in group rings
... a maximal totally real subfield of K, there exists a totally positive element d ∈ L such that N E/E 0 (a) = N L/E 0 ...finite group are restricted to these four ...
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Describing units of integral group rings up to commensurability
... You from making technical modifications necessary to exercise the Licensed Rights, including technical modifications necessary to circumvent Effective Technological ...
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Computing maximal subsemigroups of a finite semigroup
... a maximal subgroup of G and Q is a |Λ| × |I| matrix over H ∪ ...a group, then it can be represented on a computer by a generating set for G and the matrix ...S from X include the Froidure-Pin ...
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Maximal subsemigroups of finite transformation and diagram monoids
... a group G, with identity 1, on a set X is a function ψ : X × G −→ X that satisfies (x, 1)ψ = x and ((x, g)ψ, h)ψ = (x, gh)ψ for all x ∈ X and g, h ∈ ...clear from the ...the group of units of a ...
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Maximal subsemigroups of the semigroup of all mappings on an infinite set
... 5. Inverses and parameters of mappings In this section we present several technical results which we will use repeatedly throughout the paper. We begin by considering the semigroup theoretic inverses of mappings in Ω Ω . ...
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Presentations for subsemigroups of groups
... — Bertrand Russell, An Inquiry into Meaning and Truth (1940), ch. xxv 2.1. INTRODUCTION & HISTORICAL SKETCH A utom atic g roups were first studied in the 1 9 8 0 s, starting from results of Cannon ( 1 9 8 4 ) on ...
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Maximal ergodic theorems for some group actions
... free group actions on a noncommutative probability space ( M, ϕ) and obtain the corresponding individual and maximal ergodic ...arising from free group ...
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Ideals and finiteness conditions for subsemigroups
... -classes. From this it is obvious that a subsemigroup with finite Rees index must also have finite Green ...a group, and T a subgroup, the relative R T - and L T -classes are precisely the left- and right ...
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Generating "large" subgroups and subsemigroups
... Theorem 1.1.1 (Kuratowski-Zorn Lemma, see Theorem 4.3.3 in [10]). If (P, ≤) is a partially ordered set such that every chain in P has an upper bound, then P has a maximal element. We say that two sets X and Y have ...
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Generators and relations for subsemigroups via boundaries in Cayley graphs
... instance, subsemigroups of groups can have finite boundaries in their parent groups (consider the very easy example of the natural numbers inside the infinite cyclic group for instance) while it is easy to ...
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Every group is a maximal subgroup of the free idempotent generated semigroup over a band
... arbitrary group G we construct a semigroup of idempotents (band) B G with the property that the free idempotent generated semigroup over B G has a maximal subgroup isomorphic to ...questions from ...
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Right simple subsemigroups and right subgroups of compact convergence semigroups
... a maximal right zero subsemigroup of S ...sub- group of S such that R G R × E R . Then there exist G M , the maximal subgroup of S containing G R , and E M , the maximal right zero subgroup of ...
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On Maximal Subsemigroups of Partial Baer Levi Semigroups
... Copyright q 2011 B. Singha and J. Sanwong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided ...
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Chains of subsemigroups
... in Section 3 we present some general results about the length of a semigroup and its relationship to the lengths of its ideals; in Section 4 we give a lower bound for the length of the full transformation semigroup on a ...
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