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Elementary equivalence of the automorphism groups of Abelianp-groups

✍ Scribed by E. I. Bunina; M. A. Roizner

Publisher: Springer US
Year: 2010
Tongue: English
Weight: 307 KB
Volume: 169
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-010-0063-2

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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 ⌸ l Fix p n G, where ⌸ is the unique maximal normal p-subgroup of

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