J. Aust. Math. Soc.
78 (2005), 429439

Finite
pnilpotent groups with some subgroups
csupplemented

Xiuyun Guo
Department of Mathematics
Shanghai University
Shanghai 200444
P. R. of China
xyguo@staff.shu.edu.cn



K. P. Shum
Faculty of Science
The Chinese University of Hong Kong
Shatin, N.T.
P. R. of China (SAR)
kpshum@math.cuhk.edu.hk



Abstract

A subgroup of a finite group is said to be
csupplemented in if there exists a subgroup of such that and is contained in . In this paper some
results for finite
pnilpotent groups are given based on some
subgroups of csupplemented in
, where
p is a prime factor of the order of and is a Sylow
psubgroup of
. We also give some applications of these
results.

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