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Preferential normal fuzzy subgroups
Information Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makamba, B. B., Murali, V.
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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.
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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.
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On nilpotent subgroups containing non-trivial normal subgroups
Journal of Group Theory, 2010Let \(G\) 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, 1995AbstractWe 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, 2008Summary: 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, 1985It 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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