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Finitary and Artinian-Finitary Groups over the Integers ℤ

✍ Scribed by B. A. F. Wehrfritz

Book ID
110410971
Publisher
Springer
Year
2002
Tongue
English
Weight
160 KB
Volume
54
Category
Article
ISSN
0041-5995

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📜 SIMILAR VOLUMES

Finitary automorphism groups over commut
Finitary automorphism groups over commutative rings
✍ B.A.F. Wehrfritz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 114 KB

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

Finitary Representations and Images of T
Finitary Representations and Images of Transitive Finitary Permutation Groups
✍ Felix Leinen; Orazio Puglisi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 190 KB

We characterize the point stabilizers and kernels of finitary permutation representations of infinite transitive groups of finitary permutations. Moreover, the number of such representations is determined.