UNITARY AND SYMMETRIC UNITS OF A COMMUTATIVE GROUP ALGEBRA

Author(s)

Bovdi, V. A. ^[1] ; Grishkov, A. N. ^{[2, 3]}

Affiliation

^[1] UAEU, Al Ain - U Arab Emirates

^[2] Univ Sao Paulo, IME, Sao Paulo - Brazil

^[3] Omsk FM Dostoevsky State Univ, Omsk - Russia

• Document type: Journal article
• Source: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 3, p. 641-654, AUG 2019.
• Web of Science Citations: 0

Abstract

Let F be a field of characteristic two and G a finite abelian 2-group with an involutory automorphism eta. If G = H x D with non-trivial subgroups H and D of G such that eta inverts the elements of H (H without a direct factor of order 2) and fixes D element-wise, then the linear extension of eta to the group algebra FG is called a nice involution. This determines the groups of unitary and symmetric normalized units of FG. We calculate the orders and the invariants of these subgroups. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants