TY - JOUR
T1 - Finite p-groups in which every cyclic subgroup is 2-subnormal
AU - Ormerod, Elizabeth A.
PY - 2002/9
Y1 - 2002/9
N2 - This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U2,1, and showing that any finite p-group in U2,1, with p ≥ 5, must be a homomorphic image of one of these groups.
AB - This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U2,1, and showing that any finite p-group in U2,1, with p ≥ 5, must be a homomorphic image of one of these groups.
UR - http://www.scopus.com/inward/record.url?scp=0036771009&partnerID=8YFLogxK
U2 - 10.1017/S0017089502030094
DO - 10.1017/S0017089502030094
M3 - Article
SN - 0017-0895
VL - 44
SP - 443
EP - 453
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
IS - 3
ER -