English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let      Q ( t ) \mathbb {Q}(t)       be the rational function field over the rationals,      Q \mathbb {Q}      , let      Q ( ( t ) ) \mathbb {Q}((t))       be the Laurent series field over      Q \mathbb {Q}      , and let      G \mathcal {G}       be a group of odd order. We investigate the following question: does there exist a finite-dimensional division algebra  D  central over      Q ( t ) \mathbb {Q}(t)       or      Q ( ( t ) ) \mathbb {Q}((t))       which is a crossed product for      G \mathcal {G}      ? If such a  D  exists,      G \mathcal {G}       is said to be      Q ( t ) \mathbb {Q}(t)      -admissible (respectively,      Q ( ( t ) ) \mathbb {Q}((t))      -admissible). We prove that if      G \mathcal {G}       is      Q ( ( t ) ) \mathbb {Q}((t))      -admissible, then      G \mathcal {G}       is also      Q ( t ) \mathbb {Q}(t)      -admissible; we also exhibit a      Q ( t ) \mathbb {Q}(t)      -admissible group which is not      Q ( ( t ) ) \mathbb {Q}((t))      -admissible.

𝑄(𝑡) and 𝑄((𝑡))-admissibility of groups of odd order