참고문헌
- A. Ballester-Bolinches, L. A. Kurdachenko, J. Otal, and T. Pedraza, Local characterizations of infinite groups whose ascendant subgroups are permutable, Forum Math. 22 (2010), no. 1, 187-201. https://doi.org/10.1515/FORUM.2010.010
- G. Busetto and F. Napolitani, On some questions concerning permutable subgroups of finitely generated groups and projectivities of perfect groups, Rend. Sem. Mat. Univ. Padova 87 (1992), 303-305.
- M. R. Celentani and A. Leone, On quasinormal subgroups of infinite groups, Ricerche Mat. 47 (1998), no. 1, 205-211.
- J. Cossey and S. E. Stonehewer, Cyclic permutable subgroups of finite groups, J. Aust. Math. Soc. 71 (2001), no. 2, 169-176. https://doi.org/10.1017/S1446788700002810
- G. Cutolo and A. Leone, A note on torsion-free locally cyclic quasinormal subgroups, J. Algebra 424 (2015), 464-472. https://doi.org/10.1016/j.jalgebra.2014.09.023
- L. Q. Danh, M. H. Bien, and B. X. Hai, Permutable subgroups in GLn(D) and applications to locally finite group algebras, submitted, 2019, arXiv:1912.09887.
- P. K. Draxl, Skew fields, London Mathematical Society Lecture Note Series, 81, Cambridge University Press, Cambridge, 1983. https://doi.org/10.1017/CBO9780511661907
- G. R. Greenfield, A note on subnormal subgroups of division algebras, Canadian J. Math. 30 (1978), no. 1, 161-163. https://doi.org/10.4153/CJM-1978-014-9
- A. Hassani and S. Sedghi, On the quasi-normality and subnormality of subgroups of finite groups, Vietnam J. Math. 27 (1999), no. 3, 253-258.
- I. N. Herstein, Multiplicative commutators in division rings, Israel J. Math. 31 (1978), no. 2, 180-188. https://doi.org/10.1007/BF02760549
- B. Hu, J. Huang, and A. Skiba, On two open problems of the theory of permutable subgroups of finite groups, Publ. Math. Debrecen 94 (2019), no. 3-4, 477-491. https://doi.org/10.5486/pmd.2019.8473
- T. Y. Lam, A first course in noncommutative rings, Graduate Texts in Mathematics, 131, Springer-Verlag, New York, 1991. https://doi.org/10.1007/978-1-4684-0406-7
- T. Y. Lam, Hamilton's quaternions, in Handbook of algebra, Vol. 3, 429-454, Handb. Algebr., 3, Elsevier/North-Holland, Amsterdam, 2003. https://doi.org/10.1016/S1570-7954(03)80068-2
- J. C. Lennox, A note on quasinormal subgroups of finitely generated groups, J. London Math. Soc. (2) 24 (1981), no. 1, 127-128. https://doi.org/10.1112/jlms/s2-24.1.127
- J. C. Lennox, On quasinormal subgroups of certain finitely generated groups, Proc. Edinburgh Math. Soc. (2) 26 (1983), no. 1, 25-28. https://doi.org/10.1017/S0013091500028042
- A. Leone, Quasinormal subgroups of infinite groups, Ric. Mat. 63 (2014), no. 1, suppl., S201-S207. https://doi.org/10.1007/s11587-014-0195-7
- M. Mahdavi-Hezavehi and S. Akbari, Some special subgroups of GLn(D), Algebra Colloq. 5 (1998), no. 4, 361-370.
- N. K. Ngoc, M. H. Bien, and B. X. Hai, Free subgroups in almost subnormal subgroups of general skew linear groups, St. Petersburg Math. J. 28 (2017), no. 5, 707-717; translated from Algebra i Analiz 28 (2016), no. 5, 220-235. https://doi.org/10.1090/spmj/1468
- O. Ore, On the application of structure theory to groups, Bull. Amer. Math. Soc. 44 (1938), no. 12, 801-806. https://doi.org/10.1090/S0002-9904-1938-06868-1
- D. S. Passman, The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience, New York, 1977.
- H. H. G. Seneviratne, On permutable subgroups of soluble minimax groups, Arch. Math. (Basel) 44 (1985), no. 6, 481-484. https://doi.org/10.1007/BF01193986
- J. Stillwell, Naive Lie Theory, Undergraduate Texts in Mathematics, Springer, New York, 2008. https://doi.org/10.1007/978-0-387-78214-0
- S. E. Stonehewer, Permutable subgroups of infinite groups, Math. Z. 125 (1972), 1-16. https://doi.org/10.1007/BF01111111
- S. E. Stonehewer, Permutable subgroups of some finite permutation groups, Proc. London Math. Soc. (3) 28 (1974), 222-236. https://doi.org/10.1112/plms/s3-28.2.222
- S. E. Stonehewer, Old, recent and new results on quasinormal subgroups, Irish Math. Soc. Bull. No. 56 (2005), 125-133. https://doi.org/10.33232/BIMS.0056.125.133