Class-preserving automorphisms and the normalizer property for Blackburn groups

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Class-preserving Automorphisms and the Normalizer Property for Blackburn Groups

For a group G, let U be the group of units of the integral group ring ZG. The group G is said to have the normalizer property if NU (G) = Z(U)G. It is shown that Blackburn groups have the normalizer property. These are the groups which have non-normal finite subgroups, with the intersection of all of them being nontrivial. Groups G for which class-preserving automorphisms are inner automorphism...

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ژورنال

عنوان ژورنال: Journal of Group Theory

سال: 2009

ISSN: 1433-5883,1435-4446

DOI: 10.1515/jgt.2008.068