The groups in which every subgroup is either abelian or Hamiltonian
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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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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Let $G$ be a group and $Aut(G)$ be the group of automorphisms of $G$. For any natural number $m$, the $m^{th}$-autocommutator subgroup of $G$ is defined as: $$K_{m} (G)=langle[g,alpha_{1},ldots,alpha_{m}] |gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$ In this paper, we obtain the $m^{th}$-autocommutator subgroup of all finite abelian groups.
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A module $M$ is lifting if and only if $M$ is amply supplemented and every coclosed submodule of $M$ is a direct summand. In this paper, we are interested in a generalization of lifting modules by removing the condition"amply supplemented" and just focus on modules such that every non-cosingular submodule of them is a summand. We call these modules NS. We investigate some gen...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1907
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1907-1500772-6