University of Sydney
School of Mathematics and Statistics
Zhongshan University, China
C-normality of groups and its properties
Wednesday 18th March, 2-3pm, Carslaw 27.
It is of interesting to characterize the structure of a group G by
the property of its subgroups in terms of normality. We call a subgroup
M of G c-normal if it is suplemented by a normal subgroup N with the
intersection of M and N in the core of M. We have proved that a finite
group is solvable if and only if every maximal subgroup of G is
c-normal. We will talk the motivation, the main properties and theorems
about c-normal subgroups, applications and some recent generalizations
about c-normality and related problems.