group theory, a quasinormal subgroup, or permutable subgroup, is a subgroup of a group that commutes (permutes) with every other subgroup with respect to...

Descendant subgroup Quasinormal subgroup Seminormal subgroup Conjugate permutable subgroup Modular subgroup Pronormal subgroup Paranormal subgroup Polynormal...

Every quasinormal subgroup, and, more generally, every conjugate-permutable subgroup, of a finite group is subnormal. Every pronormal subgroup that is...

proof that for finite groups, every quasinormal subgroup is a subnormal subgroup. Clearly, every quasinormal subgroup is conjugate-permutable. In fact,...

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...

definition of seminormal subgroups is due to Xiang Ying Su. Every normal subgroup is seminormal. For finite groups, every quasinormal subgroup is seminormal. Su...

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...

and abnormal subgroups". J. Math. Study. 29 (4): 10–15. Zhang, Q. H. (1998). "Finite groups with only ss-quasinormal and abnormal subgroups". Northeast...

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....