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Maximal normal subgroups of the integral linear group of countable degree
Published online by Cambridge University Press: 17 April 2009
Abstract
This paper continues the second author's investigation of the normal structure of the automorphism group г of a free abelian group of countably infinite rank. It is shown firstly that, in contrast with the case of finite degree, for each prime p every linear transformation of the vector space of countably infinite dimension over Zp, the field of p elements, is induced by an element of г Since by a result of Alex Rosenberg GL(אo, Zp ) has a (unique) maximal normal subgroup, it then follows that г has maximal normal subgroups, one for each prime.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 439 - 451
- Copyright
- Copyright © Australian Mathematical Society 1976
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