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On the Order of the Automorphism Group of a Finite Group.
- Source :
- Communications in Algebra; Oct2011, Vol. 39 Issue 10, p3616-3624, 9p
- Publication Year :
- 2011
-
Abstract
- We show that if |Aut(G)| is odd, then without loss of generality we may assume the only primes dividing |G| are those dividing |Aut(G)|. We also classify finite abelian groups A such that |Aut(A)| = |A| and finite abelian groups A such that |Aut(A)| p = |A| p , where p is a prime dividing |A|. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 39
- Issue :
- 10
- Database :
- Complementary Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 70467114
- Full Text :
- https://doi.org/10.1080/00927872.2010.504679