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- Title
A note on c-sections and Deskins completions of maximal subgroups of a finite group.
- Authors
XU Ying-wu; LIU Li
- Abstract
Let G be a finite group and let M be a maximal subgroup of G. For a G-chief factor K/N satisfying N⩽M but K⊆M, we call M∩K/N a c-section of M. All c-sections of M are iso- morphic. A completion of M in G is a subgroup C of G such that C⊆M while every proper subgroup of C which is normal in G is contained in M. By means of these concepts, some new results on the solvability of finite groups are obtained.
- Subjects
MAXIMAL subgroups; FINITE groups; ISOMORPHISM (Mathematics); HILBERT'S tenth problem; FINITE element method
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2013, Vol 26, Issue 4, p489
- ISSN
1006-8341
- Publication type
Article