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Onp′-automorphisms of abelianp-groups, II

✍ Scribed by M. E. Harris


Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
124 KB
Volume
11
Category
Article
ISSN
0031-5303

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Normalp-Subgroups of the Automorphism Gr
✍ Ross Peder Abraham 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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 ⌸ l Fix p n G, where ⌸ is the unique maximal normal p-subgroup of