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On Almost totally injective p-groups and cotorsion groups

✍ Scribed by L Fuchs; L Salce

Book ID
103133442
Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
673 KB
Volume
58
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

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We describe the structure of all cotilting and partial cotilting groups, and of all cotilting torsion-free classes of groups. Under V s L, we also describe all tilting and partial tilting groups. As a by-product, we introduce new classes of groupsᎏcalled almost cotorsion groups. Unlike the well-know

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In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk