Semicomplete Permutational Wreath Products |
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| Authors: | John Panagopoulos |
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| Affiliation: | (1) Department of Mathematics, University of Athens, Panepistimiopolis, Athens, 15784, Greece |
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| Abstract: | A group is called semicomplete if every automorphism which induces the identity on the factor commutator group is inner. In this paper, we study the connection of the semicompleteness of the permutational wreath product W of two groups with the semicompleteness of these groups. We give necessary conditions under which the group W is semicomplete.2000 Mathematics Subject Classification: 20E22, 20E36 |
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| Keywords: | wreath products automorphisms |
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