논문KCI 등재
FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERS
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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.
Abstract
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.
참고문헌 (7)
- Y. Berkovich, "Groups of Prime Power Order, Volume 1" (2008), Walter de Gruyter
- Y. Berkovich, "Structure of finite p-groups with given subgroups", Contemp. Math, 402, pp.13~93 (2006), Amer. Math. Soc
- N. Blackburn, "Generalizations of certain elementary theorems on p-groups", Proc. London Math. Soc, 11(3), pp.1~22 (1961)
- B. Huppert, "Endliche Gruppen I" (1967), Springer-Verlag
- K. Ishikawa, "Finite p-groups up to isoclinism, which have only two conjugacy lengths", J. Algebra, 220(1), pp.333~354 (1999)
- X. H. Li, "Finite p-groups and centralizers of non-central elements", Comm. Algebra, 41(9), pp.3267~3276 (2013)
- M. Y. Xu, "Finite p-groups all of whose non-abelian proper subgroups are generated by two elements", J. Algebra, 319(9), pp.3603~3620 (2008)
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