A NOTE ON THE DERIVED LENGTH OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA

DOI10.1081/AGB-120014675zbMath1017.16022MaRDI QIDQ4799329

Czesław Bagiński

Publication date: 10 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

group algebrasgroups of unitsaugmentation idealsassociated Lie algebrasderived lengths

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (10)

On the derived length of the unit group of group algebras of groups with cyclic commutator subgroup ⋮ Lie derived length and involutions in group algebras. ⋮ Group rings with solvable unit groups of minimal derived length. ⋮ ON THE DERIVED LENGTH OF THE GROUP OF UNITS OF A GROUP ALGEBRA ⋮ GROUP ALGEBRAS WITH UNIT GROUPS OF DERIVED LENGTH THREE ⋮ Nilpotency Indices of Symmetric Elements of Group Algebras ⋮ On the derived length of the unit group of a group algebra ⋮ On group algebras whose group of units has maximal derived length ⋮ The derived length of the unit group of a group algebra — The case G′ = Sylp(G) ⋮ COMMUTATOR IDENTITIES ON SYMMETRIC ELEMENTS OF GROUP ALGEBRAS

Cites Work

• Unnamed Item
• The modular group algebra of a central-elementary-by-abelian p-group
• Meta-abelian unit groups of group algebras are usually abelian
• The nilpotency class of the unit group of a modular group algebra. III
• On group algebras with metabelian unit groups
• Lie Solvable Group Rings

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