Results 211 to 220 of about 52,349 (246)
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ABELIAN SUBGROUPS OF GALOIS GROUPS
Mathematics of the USSR-Izvestiya, 1992See the review in Zbl 0736.12004.
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Commutator Invariant Subgroups of Abelian Groups
Siberian Mathematical Journal, 2010The commutator \([\varphi,\psi]\) of two elements of a ring is the element \(\varphi\psi-\psi\varphi\). A subgroup \(H\) of an Abelian group \(A\) is commutator invariant if \([\varphi,\psi]H\subseteq H\) for all commutators in the endomorphism ring of \(A\).
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Subgroups of Bounded Abelian Groups
1984Valuated groups are a topic of central interest in Abelian group theory. On one hand, they provide a viewpoint for classical Abelian theory problems, and on the other hand are of interest in their own right. In this latter regard, there has been some progress in getting structure theorems for certain valuated groups.
Roger Hunter +2 more
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SYMMETRIC GROUPS AS PRODUCTS OF ABELIAN SUBGROUPS
Bulletin of the London Mathematical Society, 2002Summary: A proof is given that the full symmetric group over any infinite set is the product of finitely many Abelian subgroups. In fact, 289 subgroups suffice. Sharp bounds are also obtained on the minimal number \(k\), such that the finite symmetric group \(S_n\) is the product of \(k\) Abelian subgroups.
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Intersection of Abelian subgroups in finite groups
Mathematical Notes, 1994Let \(G\) be a finite group with subgroups \(A\) and \(B\). The author of the paper under review calls minimal elements (with respect to inclusion) of the set \(\{A^g\cap B\mid g\in G\}\) minimal \((A, B)\)-intersections. Generalizing results of \textit{T. J. Laffey} [Proc. Edinb. Math. Soc., II. Ser. 20 (1976), 229-232 (1977; Zbl 0363.20021)], \textit{
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Honest subgroups of abelian groups
Rendiconti del Circolo Matematico di Palermo, 1963Abian, A., Rinehart, D.
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Subgroups of Abelian Polish Groups
20062. Notation In what follows, G is an uncountable abelian Polish group and d(·, ·) a compatible, complete, two sided-invariant metric. We write the group operations on G with reference to it being abelian – thus + is the group operation and n · g stands for g + g + · · · (n times) · · ·+ g. 0 is the group identity in G. We will find it convenient to use
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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