Finitary automorphism groups over commutative rings

✍ Scribed by B.A.F. Wehrfritz

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 114 KB
• Volume: 172
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00142-6

✦ Synopsis

We introduce a theory of ÿnitary automorphism groups of arbitrary modules over arbitrary commutative rings, encompassing the theory of ÿnitary linear groups (the ÿeld and vector space case). In particular, we have extended the structure theorems of U. Meierfrankenfeld et al. (J. London Math. Soc. 47 (1993) 31-40) for locally soluble ÿnitary groups and unipotent ÿnitary groups from the ÿeld to the commutative ring case.