Results 131 to 140 of about 1,322,838 (185)
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Preferential normal fuzzy subgroups

Information Sciences, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makamba, B. B., Murali, V.
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Efficient classical simulations of quantum fourier transforms and normalizer circuits over Abelian groups

Quantum information & computation, 2012
The quantum Fourier transform (QFT) is an important ingredient in various quantum algorithms which achieve superpolynomial speed-ups over classical computers. In this paper we study under which conditions the QFT can be simulated efficiently classically.
M. Nest
semanticscholar   +1 more source

Closed Normal Subgroups

MLQ, 2001
The paper gives a new, shorter proof of an important theorem of Richard Kaye: closed normal subgroups of the automorphism group of a countable recursively saturated model of Peano Arithmetic are exactly the pointwise stabilizers of invariant initial segments which are closed under exponentiation [\textit{R.
openaire   +2 more sources

Groups in which every non-abelian subgroup is self-normalizing

, 2016
We study groups having the property that every non-abelian subgroup is equal to its normalizer. This class of groups is closely related to an open problem posed by Berkovich. We give a full classification of finite groups having the above property.
Costantino Delizia   +3 more
semanticscholar   +1 more source

On nilpotent subgroups containing non-trivial normal subgroups

Journal of Group Theory, 2010
Let \(G\) be a non-trivial finite group and let \(A\) be a nilpotent subgroup of \(G\). The author proves that if \(|G:A|\leq\exp(A)\), the exponent of \(A\), then \(A\) contains a non-trivial normal subgroup of \(G\). This extends an earlier result by \textit{I. M. Isaacs} [Proc. Am. Math. Soc. 130, No. 7, 1923-1925 (2002; Zbl 0993.20001)], who proved
Jamali, A. R., Viseh, M.
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Normality for elementary subgroup functors

Mathematical Proceedings of the Cambridge Philosophical Society, 1995
AbstractWe define a notion of group functor G on categories of graded modules, which unifies previous concepts of a group functor G possessing a notion of elementary subfunctor E. We show under a general condition which is easily checked in practice that the elementary subgroup E(M) of G(M) is normal for all quasi-weak Noetherian objects M in the ...
Bak, Anthony, Vavilov, N.
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Solvable subgroups in groups with self-normalizing subgroup

Ukrainian Mathematical Journal, 2008
Summary: We study the structure of some solvable finite subgroups in groups with self-normalizing subgroup.
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NORMAL SUBGROUPS OF FUCHSIAN GROUPS

The Quarterly Journal of Mathematics, 1985
It is well-known that all finitely-generated Fuchsian groups contain torsion-free normal subgroups of finite index and the particular case of the (2,3,7)-triangle group has been much studied as the corresponding quotient groups are maximal groups of automorphisms of compact Riemann surfaces.
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On subgroups containing non-trivial normal subgroups

Israel Journal of Mathematics, 2003
We prove that ifA≠1 is a subgroup of a finite groupG and the order of an element in the centralizer ofA inG is strictly larger (larger or equal) than the index [G:A], thenA contains a non-trivial characteristic (normal) subgroup ofG. Consequently, ifA is a stabilizer in a transitive permutation group of degreem>1, thenexp(Z(A))
HERZOG M., KAPLAN G., LUCCHINI, ANDREA
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Groups with Supersoluble Non-normal Subgroups

Algebra Colloquium, 2016
The structure of groups in which many subgroups have a certain property χ has been investigated for several choices of the property χ. In particular, groups whose non-normal subgroups are supersoluble are studied in this paper. Moreover, groups with only finitely many normalizers of non-supersoluble groups are considered.
DE FALCO, MARIA   +2 more
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