ON AUTOMORPHISMS AND ENDOMORPHISMS OF CC GROUPS
DOI:
https://doi.org/10.46991/PYSU:A/2018.52.1.060Keywords:
endomorphism, inner automorphism, centralizerAbstract
We consider the automorphisms description question for the semigroups End($G$) of a group $G$ having only cyclic centralizers (CC) of nontrivial elements. In particular, we prove that each member of the automorphism group Aut($G$) of a group $G$ from this class is uniquely determined by its action on the elements from the subgroup of inner automorphisms Inn($G$). Note that, typical examples of CC groups are absolutely free groups, free periodic groups of large enough odd periods, $n$-periodic and free products of CC groups.
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Published
2018-04-16
How to Cite
Aslanyan, H. (2018). ON AUTOMORPHISMS AND ENDOMORPHISMS OF CC GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(1 (245), 60–63. https://doi.org/10.46991/PYSU:A/2018.52.1.060
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Short Communications
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