Results 301 to 310 of about 5,597,312 (370)

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.
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On Normal Embedding of Subgroups

Geometriae Dedicata, 2000
The author surveys conditions for a group to allow an embedding as a normal subgroup of another finite group, with an additional condition of containment in some given characteristic subgroup. The main objects of the article are finite groups. Let \(\Aut_c(G)\) denote the group of all central automorphisms of a group \(G\), \(\text{Inn}_c(G)=\Aut_c(G ...
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Normal subgroup generated by a plane polynomial automorphism

, 2009
We study the normal subgroup 〈f〉N generated by an element f ≠ id in the group G of complex plane polynomial automorphisms having Jacobian determinant 1. On the one hand, if f has length at most 8 relative to the classical amalgamated product structure of
Jean-Philippe Furter, St'ephane Lamy
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Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types

Theory and Applications of Categories, 1996
We obtain some explicit calculations of crossed Q-modules induced from a crossed module over a normal subgroup P of Q. By virtue of theorems of Brown and Higgins, this enables the computation of the homotopy 2-types and second homotopy modules of certain
Ronald Brown, C. Wensley, L. Breen
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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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On the distribution of subgroups normalized by a given subgroup

Journal of Soviet Mathematics, 1993
A whole series of results on the distribution of subgroups containing a given subgroup or normalized by a given subgroup is subject to a single principle. Namely, a whole lattice of subgroups under consideration is divided into intervals in such a manner that the factorgroup of the upper bound of each interval by the lower one provides complete ...
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Subgroups normalized by the elementary Levi subgroup

Journal of Mathematical Sciences, 2006
Subgroups of the unipotent radical of a maximal parabolic subgroup of a Chevalley group over a field K, which are normalized by the commutator subgroup of the Levi subgroup, are described. It is shown that in the typical case, such subgroups are in one-to-one correspondence with the closed subsets of {1, 2, ..., n} for a natural n.
V. G. Kazakevich, A. K. Stavrova
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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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A Note on Products of Normal Subgroups

Canadian Mathematical Bulletin, 1969
By a group theoretic class we mean a class of groups which contains the trivial group, denoted E, and any group isomorphic to a group in the class. Let I be a group theoretic class. Following P. Hall [4, p. 533], we define EI, CI, SI, QI, and NoI to be the (group theoretic) classes consisting of extensions of I groups by I groups, cartesian products of
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