A question from the Kourovka Notebook on formation products
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https://riunet.upv.es/handle/10251/19031
Cita bibliográfica
Ballester Bolinches, A.; Calvo Lopez, C.; Esteban Romero, R. (2003). A question from the Kourovka Notebook on formation products. Bulletin of the Australian Mathematical Society. 3(68). https://doi.org/10.1017/S0004972700037862
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Resumen
[EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated formations if H = G. It answers some open questions on products of formations. The relation between omega-saturated and X-saturated formations is also discussed.
Descripción
This paper has been published in Bulletin of the Australian Mathematical Society, 68(3):461-470 (2003). Copyright 2003 by Australian Mathematical Publishing Association Inc and Cambridge University Press Journals. The final publication is available at http://dx.doi.org/10.1017/S0004972700037862 http://journals.cambridge.org/abstract_S0004972700037862
Fuente
Bulletin of the Australian Mathematical Society issn: 0004-9727