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Normalp-Subgroups of the Automorphism Group of an Abelianp-Group

✍ Scribed by Ross Peder Abraham

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 136 KB
Volume: 199
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7040

No coin nor oath required. For personal study only.

✦ Synopsis

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 Aut G, and

results on how to find the finite Ulm invariants of a reduced abelian p-group from p G 5 to all odd primes.

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