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Direct Product Decompositions of Twisted Wreath Products
Canadian Mathematical Bulletin, 1975The twisted wreath product of two groups was first defined by B. H. Neumann ([1]) who used this construction to present a group-theoretic proof of a theorem due to Auslander and Lyndon. In this paper we present a complete characterization of the direct product decompositions of a restricted twisted wreath product of two groups A and B provided this ...
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CONSTRUCTION PRODUCTS DIRECTIVE
Facilities, 1989The Construction Products Directive of 21 December 1988 — on the approximation of laws, regulations and administrative provisions of the member states relating to construction products — provides for free trade in construction products throughout the European Economic Community. Implementation must be achieved by 27 June 1991.
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2017
In this chapter we introduce semi-direct products such as the Poincare group, the Galilei group and the Bargmann group. We describe their irreducible unitary representations, which are induced from representations of their translation subgroup combined with a so-called little group.
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In this chapter we introduce semi-direct products such as the Poincare group, the Galilei group and the Bargmann group. We describe their irreducible unitary representations, which are induced from representations of their translation subgroup combined with a so-called little group.
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Direct Sums and Direct Products
2015The concept of direct sum is of utmost importance for the theory. This is mostly due to two facts: first, if we succeed in decomposing a group into a direct sum, then it can be studied by investigating the summands separately, which are, in numerous cases, simpler to deal with.
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1995
The main result of this chapter is a complete description of all finite abelian groups as direct products of cyclic p-groups. By passing from abelian groups to modules over a principal ideal domain, we show that this result gives canonical forms for matrices. The essential uniqueness of the factorization of a finite abelian group as a direct product of
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The main result of this chapter is a complete description of all finite abelian groups as direct products of cyclic p-groups. By passing from abelian groups to modules over a principal ideal domain, we show that this result gives canonical forms for matrices. The essential uniqueness of the factorization of a finite abelian group as a direct product of
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