Results 51 to 60 of about 78 (73)
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Forcing with Finite Conditions
2006We present a generalisation to ω 2 of Baumgartner’s forcing for adding a CUB subset of ω 1 with finite conditions.
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A condition for the solvability of finite groups
Siberian Mathematical Journal, 2009Summary: A subgroup \(H\) is called \(\mathcal M\)-supplemented in a finite group \(G\), if there exists a subgroup \(B\) of \(G\) such that \(G=HB\) and \(H_1B\) is a proper subgroup of \(G\) for every maximal subgroup \(H_1\) of \(H\). We investigate the influence of \(\mathcal M\)-supplementation of Sylow subgroups and obtain a condition for ...
Miao, Long, Qian, Guohua
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A finiteness condition for verbal subgroups
Journal of Group Theory, 2007The verbal subgroups considered here are the terms of the derived and the (descending) central series of a group, and the corresponding words. For both cases the following is shown: if the words corresponding to a fixed term are contained in the union of finitely many Chernikov groups, then the corresponding verbal subgroup is a Chernikov group ...
Rogério, J. R., Shumyatsky, Pavel
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Finiteness Conditions for Near-Rings
Canadian Mathematical Bulletin, 1992AbstractThere have been a number of papers which give necessary conditions for a ring to be finite, and a few, most notably H. E. Bell [1], which do the same for near-rings. We wish to make a contribution to this latter theme. Most of Bell's results concern distributive near-rings.
Heatherly, H. E., Meldrum, J. D. P.
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Finite Groups with a Subnormality Condition
Siberian Mathematical Journal, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A finiteness condition in topological groups
Ukrainian Mathematical Journal, 1984For locally compact groups G, \(G_ 0\) denotes the connected component of identity, \(B=B(G)\) the periodic part, \(S_ p(G)\) the p-Sylow subgroup, r(G) the rank of G as defined by Maltsev, \(I_ p\) (resp., \(R_ p)\) the additive group of the ring of p-adic integers (resp., of the field of p- adic numbers).
Pilipenko, Yu. N., Poletskikh, V. M.
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ON HOMOTOPICAL AND HOMOLOGICAL FINITENESS CONDITIONS FOR FINITELY PRESENTED MONOIDS
International Journal of Algebra and Computation, 2001An example of a finitely presented monoid is given that does not satisfy the homotopical finiteness condition [Formula: see text], although it satisfies both the homological finiteness conditions left [Formula: see text] and right [Formula: see text].
Yuji Kobayashi, Friedrich Otto
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FINITE GROUPS WITH CENTRALIZER CONDITION
Mathematics of the USSR-Izvestiya, 1967In the present article we study finite groups whose non-primary maximal nilpotent subgroups have pairwise trivial intersection. The results obtained carry over to locally finite groups.
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Tabor groups with finiteness conditions
Aequationes mathematicae, 2015A group \(G\) is called a \textit{Tabor} group if for all \(x,y\in G\) there is an integer \(k>0\) such that \((xy)^{2^k}=x^{2^k}y^{2^k}\). This paper is devoted to the study of torsion Tabor groups. In particular it is proved that if a finite group \(G\) is a Tabor group, then \(G=K\times T\) with \(K\) of odd order and \(T\) a \(2\)-group.
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