Results 11 to 20 of about 10,185 (265)
Normal Subgroups Contained in the Frattini Subgroup [PDF]
Let H be a normal subgroup of the finite group G. If H has a subgroup K which is normal in G, satisfies | K | > | K ∩ Z 1 ( H ) | = p |K| &
Hill, W. Mack, Wright, Charles R. B.
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10 pages; to appear in DMTCS Proceedings (Formal Power Series and Algebraic Combinatorics)
Arreche, Carlos E., Williams, Nathan F.
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Automorphisms of Cartan modular curves of prime and composite level [PDF]
We study the automorphisms of modular curves associated to Cartan subgroups of $\mathrm{GL}_2(\mathbb Z/n\mathbb Z)$ and certain subgroups of their normalizers.
Dose, Valerio +2 more
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Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable [PDF]
This work continues the study of infinitely generated groups whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent. In [4], it has been shown that such a group, if not
A.O. Asar
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An L-Point Characterization of Normality and Normalizer of an L-Subgroup of an L-Group
In this paper, we study the notion of normal L-subgroup of an L-group and provide its characterization by an L-point. We also provide a construction of the normalizer of an L-subgroup of a given L-group by using L-points.
Naseem Ajmal, Iffat Jahan
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On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions
Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V.I. Senashov
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Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation [PDF]
Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors forming an Abelian subgroup (stabilizer) of the Pauli group (the group of ...
A. Barenco +44 more
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Maximal Compact Normal Subgroups [PDF]
A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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Punctured groups for exotic fusion systems
The transporter systems of Oliver and Ventura and the localities of Chermak are classes of algebraic structures that model the p‐local structures of finite groups.
Ellen Henke, Assaf Libman, Justin Lynd
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