Alternating units as free factors in the group of units of integral group rings

DOI10.1017/S0013091510000428zbMath1234.16026OpenAlexW2080903935MaRDI QIDQ3094672

Paula M. Veloso, Jairo Z. Goncalves

Publication date: 25 October 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091510000428

zbMATH Keywords

group algebrasfree subgroupsgroups of unitsintegral group ringsbicyclic unitsfree bicyclic pairsalternating units

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free nonabelian groups (20E05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (1)

A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

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• Embedding free products in the unit group of an integral group ring.
• Linear groups and group rings.
• Involutions and free pairs of bicyclic units in integral group rings
• Constructing free subgroups of integral group ring units
• Free Subgroups in the Unit Groups of Integral Group Rings
• Free Subgroups in the Units of ℤ[K₈ × C_p]
• Groups generated by two bicyclic units in integral group rings
• Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring
• Bicyclic units, Bass cyclic units and free groups

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