group theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup with respect to...
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Descendant subgroup Quasinormal subgroup Seminormal subgroup Conjugate permutable subgroup Modular subgroup Pronormal subgroup Paranormal subgroup Polynormal...
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Every quasinormal subgroup, and, more generally, every conjugate-permutable subgroup, of a finite group is subnormal. Every pronormal subgroup that is...
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proof that for finite groups, every quasinormal subgroup is a subnormal subgroup. Clearly, every quasinormal subgroup is conjugate-permutable. In fact,...
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defined by the subgroup generated by the union of subgroups. By the modular property of groups, every quasinormal subgroup (that is, a subgroup that permutes...
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definition of seminormal subgroups is due to Xiang Ying Su. Every normal subgroup is seminormal. For finite groups, every quasinormal subgroup is seminormal. Su...
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lattice is modular is that subgroups commute with each other, i.e. that they are quasinormal subgroups. Nilpotent normal subgroups form a lattice, which is...
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and abnormal subgroups". J. Math. Study. 29 (4): 10–15. Zhang, Q. H. (1998). "Finite groups with only ss-quasinormal and abnormal subgroups". Northeast...
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Chapter 8 pp. 307–310. Gonzalez, P. A.; Vasquez, Y. (2014). "Dirac Quasinormal Modes of New Type Black Holes in New Massive Gravity". Eur. Phys. J....
149 KB (19,750 words) - 15:33, 21 June 2024