Some Conditions for Cyclic Chief Factors of Finite Groups
- 33 Downloads
A subgroup H of a finite group G is called ℳ-supplemented in G if there exists a subgroup B of G such that G = HB and H 1 B is a proper subgroup of G for every maximal subgroup H 1 of H. The main aim of our investigation is to study the influence of ℳ-supplemented subgroups on the cyclic chief factors of finite groups.
Unable to display preview. Download preview PDF.
- 2.K. Doerk and T. Hawkes, Finite Soluble Groups, de Gruyter, Berlin–New York (1992).Google Scholar
- 3.W. Guo, The Theory of Classes of Groups, Science Press–Kluwer Academic Publishers, Beijing, etc. (2000).Google Scholar
- 4.W. Guo and A. N. Skiba, “On ℱΦ∗-hypercentral subgroups of finite groups,” J. Algebra, 372, 275–292 (2012).Google Scholar
- 5.W. Guo and A. N. Skiba, “On some class of finite quasi-ℱ-groups,” J. Group Theory, 12, 407–417 (2009).Google Scholar
- 9.L. Miao and W. Lempken, “On ℳ-supplemented subgroups of finite groups,” J. Group Theory, 12, No. 2, 271–289 (2009).Google Scholar