UNITARY AND SYMMETRIC UNITS OF A COMMUTATIVE GROUP ALGEBRA

Autor(es)

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

Afiliação do(s) autor(es)

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

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

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

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 3, p. 641-654, AUG 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático