FINITE-FINITARY GROUPS OF AUTOMORPHISMS
2002 ◽
Vol 01
(04)
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pp. 375-389
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In this paper we attempt to describe the structure of groups G of automorphisms of an abelian group M with the property that M(g - 1) is finite for every element g of G. These groups are closely related to the finitary linear groups over finite fields. The abelian case is critical for our work and the core result of this paper is the following. An abelian group A is isomorphic to a group G as above with M torsion if and only if A is torsion and has a residually-finite subgroup B with A/B a direct sum of cyclic groups.
1981 ◽
Vol 33
(4)
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pp. 817-825
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Keyword(s):
1971 ◽
Vol 23
(1)
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pp. 48-57
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Keyword(s):
2011 ◽
Vol 48
(2)
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pp. 247-256
Keyword(s):
1972 ◽
Vol 13
(1)
◽
pp. 47-48
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Keyword(s):
2016 ◽
Vol 101
(3)
◽
pp. 310-334
Keyword(s):
1975 ◽
Vol 77
(2)
◽
pp. 241-245
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Keyword(s):
1969 ◽
Vol 21
◽
pp. 1192-1205
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