Thompson subgroup explained
In finite group theory, a branch of mathematics, the Thompson subgroup
of a
finite p-group P refers to one of several
characteristic subgroups of
P. originally defined
to be the subgroup generated by the
abelian subgroups of
P of maximal
rank. More often the Thompson subgroup
is defined to be the subgroup generated by the abelian subgroups of
P of maximal
order or the subgroup generated by the
elementary abelian subgroups of
P of maximal rank. In general these three subgroups can be different, though they are all called the Thompson subgroup and denoted by
.
See also
