6533b851fe1ef96bd12a96e0
RESEARCH PRODUCT
Local Finite Group Theory
Bertram HuppertNorman Blackburnsubject
Normal subgroupCombinatoricsMaximal subgroupGroup (mathematics)Prime factorsortRelation (history of concept)Prime (order theory)Word (group theory)Mathematicsdescription
The word local is used in finite group-theory in relation to a fixed prime p; thus properties of p-subgroups or their normalisers, for example, are regarded as local. In the case of a soluble group, then, everything is local, but an insoluble group also has global aspects. Now the local behaviour influences the global, that is, there are theorems in which the hypothesis involves only p-subgroups and their normalisers, but the conclusion involves the whole group. This chapter is an introduction to theorems of this sort.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1982-01-01 |