Structure of Groups with Generalized Normal Subgroups

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References

[1] Neumann, B.H. (1955) Groups with Finite Classes of Conjugate Subgroups. Mathematische Zeitschrift, 63, 76-96.

http://dx.doi.org/10.1007/BF01187925

[2] Eremin, I.I. (1959) Groups with Finite Classes of Conjugate Abelian Subgroups. Matematicheskii Sbornik (MatSb) Moscow, 47, 45-54.

[3] Tomkinson, M.J. (1981) On Theorems of B. H. Neumann Concerning F C-Groups. Rocky Mountain Journal of Mathematics, 11, 47-58.

http://dx.doi.org/10.1216/RMJ-1981-11-1-47

[4] Robinson, D.J.S. (1972) Finiteness Conditions and Generalized Soluble Groups. Springer, Berlin.

[5] Kurdachenko, L.A., Levishchenko, S.S. and Semko, N.N. (1983) Groups with Almost Normal Infinite Subgroups. Soviet Mathematics (Izvestiya VUZ. Matematika), 27, 73-81.

[6] Franciosi, S. and de Giovanni, F. (1994 & 1995) Groups Satisfying the Minimal Condition on Certain Non-Normal Subgroups. Proceedings of Groups—Korea, de Gruyter, Berlin, 107-118.

[7] Polovickii, Y.D. (1980) Groups with Finite Classes of Conjugate Infinite Abelian Subgroups. Soviet Mathematics (Izvestiya VUZ. Matematika), 24, 52-59.

[8] De Falco, M., de Giovanni, F. and Musella, C. (2010) Groups with Finitely Many Normalizers of Non-Polycyclic Subgroups. Algebra Colloquium (World Scientific), 17, 203-210.

http://dx.doi.org/10.1142/S1005386710000210

[9] De Mari, F. and de Giovanni, F. (2005) Groups with Few Normalizer Subgroups. Irish Mathematical Society Bulletin, 56, 103-113.

[10] De Mari, F. and de Giovanni, F. (2006) Groups with Finitely Many Normalizers of Non-Abelian Subgroups. Ricerche di Matematica, 55, 311-317.

[11] De Mari, F. and de Giovanni, F. (2006) Groups with Finitely Many Normalizers of Subnormal Subgroups. Journal of Algebra, 304, 382-396.

http://dx.doi.org/10.1016/j.jalgebra.2005.10.006

[12] De Mari, F. and de Giovanni, F. (2007) Groups with Finitely Many Normalizers of Non-Nilpotent Subgroups. Mathematical Proceedings of the Royal Irish Academy. Royal Irish Academy, Dublin, 107A, 143-152.

http://dx.doi.org/10.3318/PRIA.2007.107.2.143

[13] Tomkinson, M.J. (1984) FC-Groups, Pitman, Boston.

[14] Neumann, B.H. (1954) Groups Covered by Permutable Subset. Journal of the London Mathematical Society, 29, 236-248.

http://dx.doi.org/10.1112/jlms/s1-29.2.236

[15] Mann, A. and Segal, D. (1990) Uniform Finiteness Conditions in Residually Finite Groups. Proceedings London Mathematical Society, 61, 529-545.

[16] Sunkov, V.P. (1970) On the Minimality Problem for Locally Finite Groups. Algebra and Logic, 9, 137-151.

http://dx.doi.org/10.1007/BF02218982

[17] Hartley, B. (1988) Fixed Points of Automorphisms of Certain Locally Finite Groups and Chevalley Groups. Journal of the London Mathematical Society, 37, 421-436.

http://dx.doi.org/10.1112/jlms/s2-37.3.421

[18] Zaicev, D.I. (1974) On Solvable Subgroups of Locally Solvable Groups. Soviet Mathematics Doklady (SSSR), 15, 342-345.