Future Communication, Information and Computer Science – Zheng (Ed.)
© 2015 Taylor & Francis Group, London, 978-1-138-02653-7
On nonabelian p-group containing a cyclic normal subgroup
L. Zeng
Research Centre of Zunyi Normal College, Zunyi, GuiZhou, China
ABSTRACT: Group theory is generally applied in computer science and many other application sciences. In
this article, as tools, we research the modular, dihedral, semidihedral, and quaternion groups first, we have then
proved several lemmas about cyclic group, centralizes of group, Sylow p-subgroup and so on. In the end, we
have proved that if G is a nonabelian p-group containing a cyclic normal subgroup U of order p
n
with certain
properties, then G must have a very definite character, this character ...