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Strong Sperner property of the subgroup lattice of an Abelianp-group

โœ Scribed by Jun Wang; Yi Wang


Publisher
SP Science China Press
Year
2000
Tongue
English
Weight
580 KB
Volume
43
Category
Article
ISSN
1674-7283

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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