Construction of free subgroups in the group of units of modular group algebras

DOI10.1080/00927879608825808zbMath0929.16031OpenAlexW2024884886MaRDI QIDQ4370008

Jairo Z. Goncalves, Donald S.Passman

Publication date: 28 January 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825808

zbMATH Keywords

group algebrasfree productsfree groupsunit groupsbicyclic units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (13)

Unnamed Item ⋮ Free unit groups in group rings and division rings: My collaboration with Don Passman ⋮ ON ENGEL QUASI-NORMAL SUBGROUP IN DIVISION RINGS WITH UNCOUNTABLE CENTER ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ Subnormal subgroups of group ring units ⋮ FREE SUBGROUPS IN THE GROUP OF UNITS OF A TWISTED GROUP ALGEBRA ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS ⋮ FREE SYMMETRIC AND UNITARY PAIRS IN DIVISION RINGS WITH INVOLUTION ⋮ Free unit groups in group algebras ⋮ Free groups in normal subgroups of the multiplicative group of a division ring. ⋮ Some algebraic algebras with Engel unit groups ⋮ Free products of units in algebras. II: Crossed products ⋮ On units of twisted group algebras

Cites Work

• Unnamed Item
• Free Subgroups and the Residual Nilpotence of the Group of Units of Modular and p-Adic Group Rings
• Free Subgroups of Units in Group Rings
• Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
• Free Subgroups in the Unit Groups of Integral Group Rings

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