References

  1. Dixon M.R. Certain rank conditions on groups. Note Mat. 2008, 28 (2), 151–175. doi:10.1285/i15900932v28n2supplp151
  2. Dixon M.R., Evans M.J., Smith H. Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank. Arch. Math. 1997, 68 (2), 100–109. doi:10.1007/s000130050037 Dixon M.R., Kurdachenko L.A., Pypka A.A., Subbotin I.Ya. Groups satisfying certain rank conditions. Algebra Discrete Math. 2016, 22 (2), 184–200. Dixon M.R., Kurdachenko L.A., Subbotin I.Ya. On various rank conditions in infinite groups. Algebra Discrete Math. 2007, 6 (4), 23–43. Dixon M.R., Kurdachenko L.A., Subbotin I.Ya. Ranks of Groups: The Tools, Characteristics, and Restrictions. Wiley, New York, 2017. Fuchs L. Infinite abelian groups, Vol. 1. Academic Press, New York, 1970. Kirichenko V.V., Kurdachenko L.A., Subbotin I.Ya. Some related to pronormality subgroup families and the properties of a group. Algebra Discrete Math. 2011, 11 (1), 75–108.
  3. Kurdachenko L.A., Subbotin I.Ya. Transitivity of normality and pronormal subgroups. In: Fine B., Gaglione A.M., Spellman D. (Eds.) Combinatorial Group Theory, Discrete Groups, and Number Theory. Contemp. Math. 2006, 421, 201–212. doi:10.1090/conm/421/08038
  4. Kurdachenko L.A., Subbotin I.Ya., Velychko T.V. On the non-periodic groups, whose subgroups of infinite special rank are transitively normal. Algebra Discrete Math. 2020, 29 (1), 74–84. doi:10.12958/adm1357 Maltsev A.I. On groups of finite rank. Mat. Sb. 1948, 22 (2), 351–352. Plotkin B.I. Radical groups. Mat. Sb. 1955, 37 (3), 507–526. Semko N.N., Velychko T.V. On the groups whose subgroups of infinite special rank are transitively normal. Algebra Discrete Math. 2017, 24 (1), 34–45. Zaitsev D.I. On soluble groups of finite rank. Algebra Logika 1977, 16 (3), 300–312.