scientific article; zbMATH DE number 5228152

zbMath1130.16016arXivmath/0607152MaRDI QIDQ5437158

Victor A. Bovdi

Publication date: 18 January 2008

Full work available at URL: https://arxiv.org/abs/math/0607152

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite \(p\)-groupsgroups of unitsLie nilpotency indicesLie nilpotent modular group algebrasascending central seriesLie nilpotency classesupper Lie codimension subgroupsupper Lie dimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30)

Related Items (10)

Modular group algebras with small Lie nilpotency indices ⋮ Lie nilpotency indices of modular group algebras II ⋮ Modular group algebras of Lie nilpotency index 8p − 6 ⋮ On the Lie nilpotency indices of modular group algebras ⋮ Group algebras of Lie nilpotency index 12 and 13 ⋮ Unnamed Item ⋮ Lie nilpotency index of a modular group algebra ⋮ On Lie nilpotent modular group algebras ⋮ A note on the upper Lie nilpotency index of a group algebra ⋮ On the lower Lie nilpotency index of a group algebra

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