Subgroup embedding properties and the structure of finite groups. (English) Zbl 1338.20018
In this paper the author discusses some results on different ways a subgroup can be embedded in a finite group and their impact on the whole group. Particular attention is devoted to supplements of normal subgroups, maximal subgroups and Sylow subgroups. The work is enriched with many interesting examples.
Reviewer: Enrico Jabara (Venezia)
MSC:
| 20D40 | Products of subgroups of abstract finite groups |
| 20D10 | Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks |
| 20D20 | Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure |
