Periodic groups saturated by finite simple groups U3(2m)

• Autores: D. V. Lytkina, L. R. Tukhvatullina, K. A. Filippov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 3, 2008, págs. 166-175
• Idioma: inglés
• DOI: 10.1007/s10469-008-9011-3
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• Resumen

  • Let {ie166-01} be a set of finite groups. A group G is said to be saturated by the groups in {ie166-02} if every finite subgroup of G is contained in a subgroup isomorphic to a member of {ie166-03}. It is proved that a periodic group G saturated by groups in a set {U3(2m) | m = 1, 2, �} is isomorphic to U3(Q) for some locally finite field Q of characteristic 2; in particular, G is locally finite.