On groups satisfying .
Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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Mashhour I. AlAli, Christoph Hering, Anni Neumann (2005)
Revista Matemática Complutense
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The purpose of this paper is to give a general and a simple approach to describe the Sylow r-subgroups of classical groups.
P. Zieschang (1993)
Colloquium Mathematicae
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Gill, Nick (2007)
Beiträge zur Algebra und Geometrie
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Hiroyuki Okazaki, Kenichi Arai, Yasunari Shidama (2011)
Formalized Mathematics
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In [6] it was formalized that the direct product of a family of groups gives a new group. In this article, we formalize that for all j ∈ I, the group G = Πi∈IGi has a normal subgroup isomorphic to Gj. Moreover, we show some relations between a family of groups and its direct product.
Lytkina, D.V., Kuznetsov, A.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Archer, Claude, Cara, Philippe, Krempa, Jan (2005)
Beiträge zur Algebra und Geometrie
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Mikaelian, Vahagn H. (2004)
Beiträge zur Algebra und Geometrie
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Wong, P.C., Wong, K.B. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Lemnouar Noui (2009)
Annales mathématiques Blaise Pascal
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In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group to express as semi-direct product of a divisible subgroup and some subgroup . We also apply the main Theorem to the -groups with center of index , for some prime . For these groups we compute the number of conjugacy classes and the number of abelian maximal subgroups and the number...