Subnormal, permutable, and embedded subgroups in finite groups

Central European Journal of Mathematics - Tập 9 Số 4 - Trang 915-921 - 2011
James C. Beidleman1, Matthew F. Ragland2
1Department of Mathematics, University of Kentucky, Lexington, USA
2Department of Mathematics, Auburn University Montgomery, Montgomery, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Agrawal R.K., Finite groups whose subnormal subgroups permute with all Sylow subgroups, Proc. Amer. Math. Soc., 1975, 47(1), 77–83

Al-Sharo K.A., Beidleman J.C., Heineken H., Ragland M.F., Some characterizations of finite groups in which semiper-mutability is a transitive relation, Forum Math., 2010, 22(5), 855–862

Ballester-Bolinches A., Cossey J., Soler-Escrivà X., On a permutability property of subgroups of finite soluble groups, Commun. Contemp. Math., 2010, 12(2), 207–221

Ballester-Bolinches A., Esteban-Romero R., Sylow permutable subnormal subgroups of finite groups II, Bull. Austr. Math. Soc, 2001, 64(3), 479–486

Ballester-Bolinches A., Esteban-Romero R., Sylow permutable subnormal subgroups of finite groups, J. Algebra, 2002, 251(2), 727–738

Beidleman J.C., Heineken H., Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups, J. Group Theory, 2003, 6(2), 139–158

Beidleman J.C, Heineken H., Pronormal and subnormal subgroups and permutability, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat., 2003, 6(3), 605–615

Beidleman J.C, Heineken H., Ragland M.F., Solvable PST-groups, strong Sylow bases and mutually permutable products, J. Algebra, 2009, 321(7), 2022–2027

Beidleman J.C, Ragland M.F., The intersection map of subgroups and certain classes of finite groups, Ric. Mat., 2007, 56(2), 217–227

Kegel O.H., Sylow-Gruppen und Subnormalteiler endlicher Gruppen, Math. Z., 1962, 78, 205–221

Maier R., Zur Vertauschbarkeit und Subnormalität von Untergruppen, Arch. Math. (Basel), 1989, 53(2), 110–120

Ore O., Contributions to the theory of groups of finite order, Duke Math. J., 1939, 5(2), 431–460

Robinson D.J.S., A note on finite groups in which normality is transitive, Proc. Amer. Math. Soc., 1968, 19(4), 933–937

Schmid P., Subgroups permutable with all Sylow subgroups, J. Algebra, 1998, 207(1), 285–293

Wang L, Li Y., Wang Y, Finite groups in which (S-)semipermutability is a transitive relation, Int. J. Algebra, 2008, 2(3) 143–152

Zacher G., I gruppi risolubili finiti in cui i sottogruppi di composizione coincidono con i sottogruppi quasi-normali, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 1964, 37, 150–154

Zhang Q., s-semipermutability and abnormality in finite groups, Comm. Algebra, 1999, 27(9), 4515–4524

Zhang Q.H., Wang L.F, The influence of s-semipermutable subgroups on finite groups, Acta Math. Sinica (Chin. Ser.), 2005, 48(1), 81–88 (in Chinese)