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In this paper, we classified finite p-groups G such that CG(x)/<x> is cyclic for all non-central elements x ∈ G. This solved a problem pro- posed By Y. Berkovoch.
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참고문헌 (7)
참고문헌 신청
B. Huppert / 1967 / Endliche Gruppen I / Springer-Verlag
K. Ishikawa / 1999 / Finite p-groups up to isoclinism, which have only two conjugacy lengths / J. Algebra 220 (1) : 333 ~ 354
M. Y. Xu / 2008 / Finite p-groups all of whose non-abelian proper subgroups are generated by two elements / J. Algebra 319 (9) : 3603 ~ 3620
N. Blackburn / 1961 / Generalizations of certain elementary theorems on p-groups / Proc. London Math. Soc 11 (3) : 1 ~ 22
X. H. Li / 2013 / Finite p-groups and centralizers of non-central elements / Comm. Algebra 41 (9) : 3267 ~ 3276
K. Ishikawa / 1999 / Finite p-groups up to isoclinism, which have only two conjugacy lengths / J. Algebra 220 (1) : 333 ~ 354
M. Y. Xu / 2008 / Finite p-groups all of whose non-abelian proper subgroups are generated by two elements / J. Algebra 319 (9) : 3603 ~ 3620
N. Blackburn / 1961 / Generalizations of certain elementary theorems on p-groups / Proc. London Math. Soc 11 (3) : 1 ~ 22
X. H. Li / 2013 / Finite p-groups and centralizers of non-central elements / Comm. Algebra 41 (9) : 3267 ~ 3276
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