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On Groups in Which Many Automorphisms Are Cyclic.
- Source :
-
Mathematics (2227-7390) . Jan2022, Vol. 10 Issue 2, p262-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- Let G be a group. An automorphism α of G is said to be a cyclic automorphism if the subgroup 〈 x , x α 〉 is cyclic for every element x of G. In [F. de Giovanni, M.L. Newell, A. Russo: On a class of normal endomorphisms of groups, J. Algebra and its Applications 13, (2014), 6pp] the authors proved that every cyclic automorphism is central, namely, that every cyclic automorphism acts trivially on the factor group G / Z (G) . In this paper, the class F W of groups in which every element induces by conjugation a cyclic automorphism on a (normal) subgroup of finite index will be investigated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *AUTOMORPHISMS
*ENDOMORPHISMS
*ALGEBRA
*FINITE, The
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 154854343
- Full Text :
- https://doi.org/10.3390/math10020262