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A homological characterization of certain subgroups of Abelianp-groups

โœ Scribed by E. Monari Martinez; L. Salce


Publisher
Akadmiai Kiad
Year
1982
Tongue
English
Weight
253 KB
Volume
39
Category
Article
ISSN
1588-2632

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Normalp-Subgroups of the Automorphism Gr
โœ Ross Peder Abraham ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

We will show that for any integer n G 0, the automorphism group of an abelian p-group G, p G 3, contains a unique subgroup which is maximal with respect to being normal and having exponent less than or equal to p n . This subgroup is โŒธ l Fix p n G, where โŒธ is the unique maximal normal p-subgroup of