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European Mathematical Society Publishing House
2016-09-19 17:05:49
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
127
2012
0
Inertial Automorphisms of an Abelian Group
Ulderico
Dardano
Università degli Studi di Napoli Federico II, NAPOLI, ITALY
Silvana
Rinauro
Università degli Studi della Basilicata, POTENZA, ITALY
An automorphisms $\gamma$ of a group is inertial if $X\cap X^\gamma$ has finite index in both $X$ and $X^\gamma$ for any subgroup $X$. We study inertial automorphisms of abelian groups and give characterization of them. In particular, if the group is periodic they have property that $X^{\langle\gamma\rangle}/X_{\langle\gamma\rangle}$ is bounded. We also study finitely generated groups of inertial automorphisms.
General
213
233
10.4171/RSMUP/127-11
http://www.ems-ph.org/doi/10.4171/RSMUP/127-11