On finitary linear groups with a locally nilpotent maximal subgroup

Authors
Bruno, B Molle, MD Napolitani, F
Citation
B. Bruno et al., On finitary linear groups with a locally nilpotent maximal subgroup, ARCH MATH, 76(6), 2001, pp. 401-405
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
76
Issue
6
Year of publication
2001
Pages
401 - 405
Database
ISI
SICI code
0003-889X(20010601)76:6<401:OFLGWA>2.0.ZU;2-X
Abstract
We prove that a group G of finitary permutations. containing a locally nilp otent maximal subgroup M is locally solvable if M is not a 2-group. We also prove that the same is true if G is a periodic, non-modular, finitary line ar group.