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

The essential 2-rank of general linear and unitary groups

Photo by vika_strawberrika from unsplash

Abstract Let G be a general linear or unitary group over a finite field of odd characteristic and let D ≤ G be a Sylow 2-subgroup. In this paper, we… Click to show full abstract

Abstract Let G be a general linear or unitary group over a finite field of odd characteristic and let D ≤ G be a Sylow 2-subgroup. In this paper, we classify essential subgroups of the Frobenius category F D ( G ) and determine the number of G-conjugacy classes of these subgroups, that is, the essential 2-rank of F D ( G ) .

Keywords: essential rank; unitary groups; general linear; linear unitary; rank general

Journal Title: Journal of Pure and Applied Algebra
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.