On Groups in which every two Conjugate Operations are Permutable
نویسندگان
چکیده
منابع مشابه
Groups in which every subgroup has finite index in its Frattini closure
In 1970, Menegazzo [Gruppi nei quali ogni sottogruppo e intersezione di sottogruppi massimali, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 559--562.] gave a complete description of the structure of soluble $IM$-groups, i.e., groups in which every subgroup can be obtained as intersection of maximal subgroups. A group $G$ is said to have the $FM$...
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Similar kinds of problems have often been object of investigation. For instance, in [5] Fitzpatrick, using the classification of finite simple groups, proved that if in a finite group G any two elements of the same order are conjugate, thenG is isomorphic with the symmetric group Sn, with n ∈ {1, 2, 3} (see also [4]). Then in [10] there is the classification of finite groups for which elements ...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1902
ISSN: 0024-6115
DOI: 10.1112/plms/s1-35.1.28