Abstract
Let N be any perfect symplectic alternating algebra. We show that N can be embedded into a larger simple alternating algebra S of dimension View the MathML source7⋅(dimN)+6 such that Aut (S)={id}Aut (S)={id}. This answers a question raised in [9]. Building on this result we show moreover that for any finite group G and characteristic c there exists a symplectic alternating algebra L over a field FF of characteristic c such that Aut (L)=GAut (L)=G.
Original language  English 

Pages (fromto)  164176 
Journal  Journal of Algebra 
Volume  461 
Early online date  17 Jun 2016 
DOIs  
Publication status  Published  1 Sept 2016 
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Dive into the research topics of 'On simple symplectic alternating algebras and their groups of automorphisms'. Together they form a unique fingerprint.Profiles

Gunnar Traustason
 Department of Mathematical Sciences  Head of Department
Person: Research & Teaching