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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

This research provides a characterization of centralizer-like subgroupsassociated with the $n$-Engel word in a direct product of groups. Specifically,properties of the set of right $n$-Engel elements inside of direct products areexplored. A proof is given to demonstrate the equivalence between the set ofright $n$-Engel elements of a direct product of two groups and a direct productof the set of right $n$-Engel elements of each direct factor. This work wasinspired by the study of centralizer-like subgroups in paper written byLuise-Charlotte Kappe and Patrick Ratchford. We present additional questionsexplored during this project, and we propose future research possibilities.

Centralizer-like Subgroups Associated with the $n$-Engel Words Inside of Direct Product Groups