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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

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✦ Synopsis


We introduce a theory of ΓΏnitary automorphism groups of arbitrary modules over arbitrary commutative rings, encompassing the theory of ΓΏnitary linear groups (the ΓΏeld 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 ΓΏnitary groups and unipotent ΓΏnitary groups from the ΓΏeld to the commutative ring case.


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