Some solubility criteria in factorised groups

This paper has been published in Bulletin of the Australian Mathematical Society, 86(1):22-28 (2012). Copyright 2012 by Australian Mathematical Publishing Association Inc and Cambridge University Press Journals. The final publication is available at http://journals.cambridge.org/abstract_S0004972711003418In this paper, solubility of groups factorised as a product of two subgroups which are connected by certain permutability properties is studied.The research of the second and the third authors has been supported by the grant MTM2010-19938-C03-01 from the Ministerio de Ciencia e Innovacion (Spanish government).http://dx.doi.org/10.1017/S0004972711003418Asaad, M.; Ballester Bolinches, A.; Esteban Romero, R. (2012). Some solubility criteria in factorised groups. Bulletin of the Australian Mathematical Society. (86). doi:10.1017/S0004972711003418S8