Projectively invariant subgroups of Abelian p-groups
For a projectively invariant subgroup C of a reduced p-group G, a nondecreasing sequence of ordinals and the symbol ∞ is constructed in which the kth position, k = 0, 1, 2,... , is occupied by the minimum of heights in G of all nonzero elements of the subgroup pkC[p]. It is proved that if all elemen...
| Published in: | Mathematical notes Vol. 109, № 5/6. P. 948-953 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000925629 Перейти в каталог НБ ТГУ |
| Summary: | For a projectively invariant subgroup C of a reduced p-group G, a nondecreasing sequence of ordinals and the symbol ∞ is constructed in which the kth position, k = 0, 1, 2,... , is occupied by the minimum of heights in G of all nonzero elements of the subgroup pkC[p]. It is proved that if all elements of this sequence are integers, then the subgroup C is fully invariant. |
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| Bibliography: | Библиогр.: 6 назв. |
| ISSN: | 0001-4346 |