Results 61 to 70 of about 52,191 (255)
Index of a Subgroup of an Abelian Group
Missouri Journal of Mathematical Sciences, 2001 An old result assigned to B. H. Neumann by \textit{L. Fuchs} [in Infinite Abelian groups. Vol. II (1973; Zbl 0257.20035)] states that if \(S_1,\dots,S_n\) are proper subgroups of an Abelian group \(A\) such that \(A=\bigcup_{i=1}^n(a_i+S_i)\) then one of the subgroups \(S_i\) is a finite index subgroup of \(A\). The author shows that (i) if \(n\geq 3\)
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Undecidability of the Theory of Abelian Groups with a Subgroup [PDF]
Proceedings of the American Mathematical Society, 1976 The theory of abelian groups with an additional predicate denoting a subgroup is undecidable.
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Abelian Livšic theorems for Anosov flows
Bulletin of the London Mathematical Society, EarlyView.Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 The purpose of this research is to show a constructive method for using known fuzzy groups as building blocks to form more fuzzy subgroups. As we shall describe employing this procedure with the fuzzy generating subgroups give us a large class of ...
L.N.M. Tawfiq
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The conjugacy diameters of non-abelian finite p-groups with cyclic maximal subgroups
AIMS MathematicsLet $ G $ be a group. A subset $ S $ of $ G $ is said to normally generate $ G $ if $ G $ is the normal closure of $ S $ in $ G. $ In this case, any element of $ G $ can be written as a product of conjugates of elements of $ S $ and their inverses.
Fawaz Aseeri , Julian Kaspczyk
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Limit groups and groups acting freely on R^n-trees
, 2004 We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree.
Bass +13 more
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Embedding of Abelian Subgroups in p-Groups [PDF]
Transactions of the American Mathematical Society, 1971 Research concerning the embedding of abelian subgroups in p p -groups generally has proceeded in two directions; either considering abelian subgroups of small index (cf. J. L. Alperin, Large abelian subrgoups of p p -groups, Trans. Amer. Math. Soc. 117 (1965), 10-20) or considering elementary abelian subgroups of small
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Cyclic subgroup transitivity for Abelian groups
Rendiconti del Seminario Matematico della Università di Padova, 2023 In previous work, the first two authors studied the notion of transitivity with respect to cyclic subgroups for separable Abelian p -groups and modules over the ring of p
Goldsmith, Brendan +2 more
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On a rigidity property for quadratic gauss sums
Mathematika, Volume 72, Issue 1, January 2026.Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
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The Optimal Single Copy Measurement for the Hidden Subgroup Problem
, 2008 The optimization of measurements for the state distinction problem has recently been applied to the theory of quantum algorithms with considerable successes, including efficient new quantum algorithms for the non-abelian hidden subgroup problem. Previous
C. Moore +13 more
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