Profinite groups in which centralizers are abelian
2019
The article deals with profinite groups in which the centralizers are abelian (CA-groups), that is, with profinite commutativity-transitive groups. It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CA-group. It is shown that G has a normal open subgroup N which is either abelian or pro-p. Further, rather detailed information about the finite quotient G/N is obtained.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
30
References
6
Citations
NaN
KQI