LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Recognizing  $ A_{7} $ by Its Set of Element Orders

Photo from wikipedia

Let $ G $ be a periodic group, and let $ \omega(G)\subseteq{đť•…} $ be the spectrum of  $ G $ that is the set of orders of elements in  $… Click to show full abstract

Let $ G $ be a periodic group, and let $ \omega(G)\subseteq{𝕅} $ be the spectrum of  $ G $ that is the set of orders of elements in  $ G $ . We prove that the alternating group $ A_{7} $ is uniquely recognized by its spectrum in the class of all groups.

Keywords: recognizing set; set element; element orders

Journal Title: Siberian Mathematical Journal
Year Published: 2021

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.