Finitary groups and Krull dimension over the integers
Let M be any Abelian group. We make a detailed study for reasons explained in the Introduction of the normal subgroup F∞AutM={g∈AutM:M(g−1)isaminimaxgroup} of the automorphism group AutM of M. The conclusions, although slightly weaker than one would hope, in that they do not fully explain the comm...
Збережено в:
| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/165413 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Finitary groups and Krull dimension over the integers / B.A. Wehrfritz // Український математичний журнал. — 2006. — Т. 58, № 10. — С. 1310–1325. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Let M be any Abelian group. We make a detailed study for reasons explained in the Introduction of the normal subgroup
F∞AutM={g∈AutM:M(g−1)isaminimaxgroup}
of the automorphism group AutM of M. The conclusions, although slightly weaker than one would hope, in that they do not fully explain the common behavior of the finitary and the Artinian-finitary subgroups of AutM, are certainly stronger than one might reasonably expect. Our main focus is on residual properties and unipotence. |
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