Title




A bound on the index of exponent4 algebras in terms of the uinvariant
 
Author




 
Abstract




For a prime number p, an integer e >= 2 and a field F containing a primitive p(e)th root of unity, the index of central simple Falgebras of exponent p(e) is bounded in terms of the psymbol length of F. For a nonreal field F of characteristic different from 2, the index of central simple algebras of exponent 4 is bounded in terms of the uinvariant of F. Finally, a new construction for nonreal fields of uinvariant 6 is presented. 
 
Language




English
 
Source (journal)




New York journal of mathematics.  New York, N.Y.
 
Publication




New York, N.Y.
:
2023
 
ISSN




10769803
 
Volume/pages




29
(2023)
, p. 12731286
 
ISI




001123741100001
 
Full text (open access)




 
