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On the socles of fully invariant subgroups of Abelianp-groups

โœ Scribed by P. V. Danchev; B. Goldsmith


Publisher
Springer
Year
2009
Tongue
English
Weight
134 KB
Volume
92
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


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