LOCALLY FINITE GROUPS WHOSE SUBGROUPS HAVE FINITE NORMAL OSCILLATION

Content Provider	Scilit
Author	Giovanni, F. D. E. Martusciello, M. Rainone, C.
Copyright Year	2013
Description	If $X$ is a subgroup of a group $G$ , the cardinal number $\min \{ \vert X: X_{G}\vert , \vert {X}^{G} : X\vert \} $ is called the normal oscillation of $X$ in $G$ . It is proved that if all subgroups of a locally finite group $G$ have finite normal oscillation, then $G$ contains a nilpotent subgroup of finite index.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/524B392CA19ECDCFB1632D2F563001AF/S000497271300097Xa.pdf/div-class-title-locally-finite-groups-whose-subgroups-have-finite-normal-oscillation-div.pdf
Ending Page	487
Page Count	9
Starting Page	479
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s000497271300097x
Journal	Bulletin of the Australian Mathematical Society
Issue Number	3
Volume Number	89
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2014-06-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Primary 20f24 Locally Finite Group Normal Oscillation
Content Type	Text
Resource Type	Article
Subject	Mathematics