논문KCI 등재
Metanilpotent groups with chain conditions for normal subgroups of infinite order or index
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초록
We study the structure of metanilpotent groups satisfying themaximal condition on innite normal subgroups or the minimal conditionon normal subgroups of innite index.
Abstract
We study the structure of metanilpotent groups satisfying themaximal condition on innite normal subgroups or the minimal conditionon normal subgroups of innite index.
참고문헌 (7)
- F. De Giovanni, "The maximal and minimal conditions for normal subgroups of infinite order or index", Comm. Algebra, 33(1), pp.183~199 (2005)
- L. A. Kurdachenko, "Groups that satisfy weak minimality and maximality conditions for normal subgroups", Siberian Math. J, 20, pp.755~761 (1980)
- D. H. Paek, "Chain conditions for subgroups of infinite order or index", J. Algebra, 249(2), pp.291~305 (2002)
- D. H. Paek, "Locally nilpotent groups with the minimal condition on normal subgroups of infinite index", Bull. Korean Math. Soc, 41(4), pp.779~783 (2004)
- D. H. Paek, "Abelian-by-nilpotent groups with chain conditions for normal subgroups of infi-nite order or index", Bull. Korean Math. Soc, 44(4), pp.763~769 (2007)
- D. J. S. Robinson, "Finiteness Conditions and Generalized Soluble Groups" (1972), Springer-Verlag
- D. J. S. Robinson, "A Course in the Theory of Groups" (1996), Springer-Verlag
관련 논문AI추천
Abelian-by-Nilpotent Groups with Chain Conditions for Normal Subgroups of Infinite Order or Index백대현대한수학회 · 대한수학회보2007 · 제44권 제4호Locally nilpotent groups with the maximal condition on infinite normal subgroups박대현대한수학회 · 대한수학회보2004 · 제41권 제3호ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEXAlessio Russo대한수학회 · 대한수학회보2010 · 제47권 제4호Finite $p$-groups whose normal closures of non-normal subgroups have two ordersLifang Wang대한수학회 · 대한수학회지2022 · 제59권 제4호Groups having many 2-generated subgroups in a given classFares Gherbi, Nadir Trabelsi대한수학회 · 대한수학회보2019 · 제56권 제2호Finite groups which have many normal subgroupsHaipeng Qu, Mingyao Xu, Qinhai Zhang, Xiaoqiang Guo대한수학회 · 대한수학회지2009 · 제46권 제6호
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