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— In a recent work, the iterative forward–backward (FB) method has been proposed to solve the magnetic field integral equation (MFIE) for smooth one-dimensional (1-D) rough surfaces. This method has proved to be very efficient, converging in a very small number of iterations. Nevertheless, this solution becomes unstable when some obstacle, like a ship or a… (More)

- R Udiger G ¨ Obel, José L Rodríguez, Saharon Shelah
- 2000

A group homomorphism η : H → G is called a localization of H if every Libman showed that a localization of a finite group need not be finite. This is exemplified by a well-known representation A n → SO n−1 (R) of the alternating group A n , which turns out to be a localization for n even and n ≥ 10. Emmanuel Farjoun asked if there is any upper bound in… (More)

The purpose of this paper is to explore the concept of localization, which comes from homotopy theory, in the context of finite simple groups. We give an easy criterion for a finite simple group to be a localization of some simple subgroup and we apply it in various cases. Iterating this process allows us to connect many simple groups by a sequence of… (More)

In this paper we answer negatively a question posed by Libman and Casacuberta about the preservation of perfect groups under localization functors. Indeed, we show that the p-localization of Berrick's and Casacuberta's universal acyclic group is not perfect. We also investigate under which conditions perfectness is preserved: For instance, we show that if… (More)

- José L Rodríguez, J Erôme Scherer, Antonio Viruel
- 2002

Often a localization functor (in the category of groups) sends a finite simple group to another finite simple group. We study when such a localization also induces a localization between the automorphism groups and between the universal central extensions. As a consequence we exhibit many examples of localizations of finite simple groups which are not… (More)

- Carles Casacuberta, José L Rodríguez, Dirk Scevenels
- 2007

To every variety of groups W one can associate an idempotent radical P W by iterating the verbal subgroup. The basic example is the perfect radical, which is the intersection of the transfinite derived series. We prove that each such radical P W is generated by a single locally free group F , in the sense that, for every group G, the subgroup P W G is… (More)

- David Chataur, José L Rodríguez, J Erôme Scherer
- 2003

In this paper we generalize the plus-construction given by M. Livernet for algebras over rational differential graded Koszul operads to the framework of admissible operads (the category of algebras over such operads admits a closed model category structure). We follow the modern approach of J. Berrick and C. Casacuberta defining topological… (More)