Baf. Wehrfritz, ON ELEMENTARY AMENABLE-GROUPS OF FINITE HIRSCH NUMBER, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 58, 1995, pp. 219-221
Citations number
6
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
We give an alternative short proof of a recent theorem of J.A. Hillman
and P.A. Linnell that an elementary amenable group with finite Hirsch
number has, module its locally finite radical, a soluble normal subgr
oup with index and derived length bounded only in terms of the Hirsch
number of the group.