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Complete finite semidirect products and wreath products
Archiv der Mathematik, 2011A group \(G\) is `complete' if \(Z(G)=\{1\}\) and \(\Aut(G)=\mathrm{Inn}(G)\). This paper uses group cohomology to give a sufficient condition for a finite semidirect product \(G=N\rtimes H\) with \(C_G(N)\leq N\) to be complete and proves a partial converse.
Brewster, Ben, Wilcox, Elizabeth
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Products of Finite Supersoluble Groups
Algebra Colloquium, 2009Let H and T be subgroups of a finite group G. We say that H is completely c-permutable with T in G if there exists an element x ∈ 〈H,T〉 such that HTx= TxH. In this paper, we use this concept to determine the supersolubility of a group G = AB, where A and B are supersoluble subgroups of G.
Liu, Xi, Guo, Wenbin, Shum, K. P.
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Finite Groups With Product Fusion
The Annals of Mathematics, 1975In several recent papers concerning the classification of finite simple groups, the investigators were forced to treat subsidiary problems involving a group G whose Sylow 2-subgroup S is a direct product S = S, x S2 in which the fusion of 2-elements of G corresponds to that of the direct product of two groups having S, and S2, respectively, as their ...
Gorenstein, Daniel, Harris, Morton E.
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Finite Products of Interpolating Blaschke Products
Journal of the London Mathematical Society, 1994The main result of this paper is a characterization of the Blaschke products \(B\) which are such that \(\tau_ \alpha (B)\) is a finite product of interpolating Blaschke products for all \(\alpha \in D\), the unit disc. That is Theorem. Let \(B\) be a finite product of interpolating Blaschke products. Let \(\{z_ n\}\) be the sequence of zeros of \(B\),
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Decomposing finite Blaschke products
Journal of Mathematical Analysis and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daepp, Ulrich +4 more
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Critical Values of Finite Blaschke Products
Doklady Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Polynomials Versus Finite Blaschke Products
2013The aim of this chapter is to compare polynomials of one complex variable and finite Blaschke products and demonstrate that they share many similar properties. In fact, we collect many known results as well as some very recent results for finite Blaschke products here to establish a dictionary between polynomials and finite Blaschke products.
Tsang, CY, Ng, PTW
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Finite-valued approximations of product logic
Proceedings 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000), 2002In this paper we shall propose a method for the reduction of the problem of decidability in propositional infinite-valued Product Logic to suitably determined finite-valued approximating logics. In order to do so, functions associated with formulas of product logic are defined and their properties are exploited.
AGUZZOLI S, GERLA, BRUNELLA
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