논문KCI 등재
The lower autocentral series of Abelian groups
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초록
In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with n^th-term of the lower autocentral series of some finite abelian group.
Abstract
In the present paper we introduce the lower autocentral series of autocommutator subgroups of a given group. Following our previous work on the subject in 2009, it is shown that every finite abelian group is isomorphic with n^th-term of the lower autocentral series of some finite abelian group.
참고문헌 (6)
- C. Chis, "Abelian groups as autocommutator groups", Arch. Math. (Basel), 90(6), pp.490~492 (2008)
- M. Deaconescu, "Cyclic groups as autocommutator groups", Comm. Algebra, 35(1), pp.215~219 (2007)
- P. Hegarty, "The absolute centre of a group", J. Algebra, 169(3), pp.929~935 (1994)
- P. Hegarty, "Autocommutator subgroups of finite groups", J. Algebra, 190(2), pp.556~562 (1997)
- M. Naghshineh, "The third term of the lower autocentral series of abelian groups", Journal of Mathematical Extension, 4(1), pp.1~6 (2009)
- D. J. S. Robinson, "A Course in the Theory of Groups, Graduate Texts in Mathematics" (1982), Springer-Verlag
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