Results 231 to 240 of about 353,915 (269)
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On subgroups containing non-trivial normal subgroups
Israel Journal of Mathematics, 2003We 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, 2016The 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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NORMAL SUBGROUPS OF FREE CONSTRUCTIONS
Mathematics of the USSR-Sbornik, 1986Let \({\mathcal G}\) be the smallest class of groups with the following properties: 1) \({\mathcal G}\) contains all cyclic groups, 2) \({\mathcal G}\) is closed with respect to the second order operations in a finite or countable number - taking HNN-extensions with free or cyclic associated subgroups or taking amalgamated free products with free or ...
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On Normal Embedding of Subgroups
Geometriae Dedicata, 2000The 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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Metabolomics in cancer research and emerging applications in clinical oncology
Ca-A Cancer Journal for Clinicians, 2021Daniel R Schmidt +2 more
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Radiation therapy‐associated toxicity: Etiology, management, and prevention
Ca-A Cancer Journal for Clinicians, 2021Kyle Wang
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Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review
Ca-A Cancer Journal for Clinicians, 2022Deborah C Marshall, Mas +2 more
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Linking EMT programmes to normal and neoplastic epithelial stem cells
Nature Reviews Cancer, 2021Arthur W Lambert, Robert A Weinberg
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