On Hadamard property of 2-groups with special conditions on normal subgroups.
Mostaghim, Z. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Mostaghim, Z. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Jaraden, Jehad J. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Yılmaz Özgür, Nihal (2003)
Beiträge zur Algebra und Geometrie
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C. Bagiński, A. Sakowicz (1999)
Colloquium Mathematicae
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The notions of permutable and globally permutable lattices were first introduced and studied by J. Krempa and B. Terlikowska-Osłowska [4]. These are lattices preserving many interesting properties of modular lattices. In this paper all finite groups with globally permutable lattices of subgroups are described. It is shown that such finite p-groups are exactly the p-groups with modular lattices of subgroups, and that the non-nilpotent groups form an essentially larger class though they...
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.
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.
Bardakov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
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Erfanian, Ahmad, Russo, Francesco G. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Wong, P.C., Wong, K.B. (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Kuzucuoğlu, Mahmut, Mazurov, V.D. (2005)
Sibirskij Matematicheskij Zhurnal
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Kaplan, Gil, Lev, Arieh (2006)
Beiträge zur Algebra und Geometrie
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Hiroshi Yamazaki, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama (2013)
Formalized Mathematics
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In this paper we formalized some theorems concerning the cyclic groups of prime power order. We formalize that every commutative cyclic group of prime power order is isomorphic to a direct product of family of cyclic groups [1], [18].