On the exponent of the product of two groups
Avinoam Mann (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Avinoam Mann (2006)
Rendiconti del Seminario Matematico della Università di Padova
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Noskov, Guennadi A., Vinberg, Èrnest B. (2002)
Journal of Lie Theory
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Chin-Han Sah (1963)
Mathematische Zeitschrift
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Helmut Bender (1970)
Mathematische Zeitschrift
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J.H. WALTER (1966)
Inventiones mathematicae
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Gernot Stroth (1975)
Mathematische Zeitschrift
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I. Martin Isaacs (1983)
Mathematische Zeitschrift
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Wolfgang Kimmerle, Robert Sandling (1992)
Publicacions Matemàtiques
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The object of this article is to show that a Jordan-Hölder class structure of a finite group determines abelian Hall subgroups of the group up to isomorphism. The proof uses this classification of the finite simple groups.
Brendan Goldsmith, Luigi Salce (2015)
Topological Algebra and its Applications
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The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups. For a class of groups containing the groups of finite rank, aswell as those groupswhich are trajectories of finitely generated subgroups, it is proved that only fully inert subgroups of the group itself are needed to comput ent(ɸ). Examples show how the situation may be quite different...
Bernd Baumann, Scoppola C.M. (1993)
Forum mathematicum
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Kurdachenko, L. A., Subbotin, I. Ya. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 20F16, 20E15. Groups in which every contranormal subgroup is normally complemented has been considered. The description of such groups G with the condition Max-n and such groups having an abelian nilpotent residual satisfying Min-G have been obtained.
Mostaghim, Z. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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