Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group

DOI10.1080/00927870701649366zbMath1148.16029OpenAlexW1967244525MaRDI QIDQ5444886

Víctor Jiménez Lopéz

Publication date: 26 February 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701649366

zbMATH Keywords

subgroups of finite indexfree groupsdihedral groupsunit groupsintegral group ringsbicyclic 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 (2)

Bass units as free factors in integral group rings of simple groups. ⋮ A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS

Cites Work

• Character theory of finite groups
• Generators of large subgroups of the unit group of integral group rings
• Constructing free subgroups of integral group ring units
• Non-Free Points for Groups Generated by a Pair of 2×2 Matrices
• Construction of Units in Integral Group Rings of Finite Nilpotent Groups
• Free Subgroups in the Unit Groups of Integral Group Rings
• On free subgroups of units of rings
• Free Subgroups in the Units of ℤ[K₈ × C_p]
• Groups generated by two bicyclic units in integral group rings
• Normal Complements of the Trivial Units in the Unit Group of Some Integral Group Rings

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