Bass units as free factors in integral group rings of simple groups.
DOI10.1016/j.jalgebra.2013.12.024zbMath1309.16024arXiv1302.1751OpenAlexW2963615762MaRDI QIDQ401627
Robert M. Guralnick, Jairo Z. Goncalves, Ángel Del Río
Publication date: 27 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.1751
finite simple groupsfree subgroupsgroups of unitsintegral group ringsBass cyclic unitsbicyclic units
Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Units, groups of units (associative rings and algebras) (16U60)
Uses Software
Cites Work
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- On extensions of the Baer-Suzuki theorem
- Groups of units of integral group rings commensurable with direct products of free-by-free groups.
- Generators of large subgroups of the unit group of integral group rings
- Products of free groups in the unit group of integral group rings. II
- Products of free groups in the unit group of integral group rings
- The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
- Linear groups and group rings.
- BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS
- Involutions and free pairs of bicyclic units in integral group rings
- INVOLUTIONS AND FREE PAIRS OF BASS CYCLIC UNITS IN INTEGRAL GROUP RINGS
- Constructing free subgroups of integral group ring units
- Construction of Units in Integral Group Rings of Finite Nilpotent Groups
- Free Subgroups of Units in Group Rings
- The local structure of finite groups of characteristic 2 type
- Free Subgroups in the Unit Groups of Integral Group Rings
- Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
- Construction of units in integral group rings of finite nilpotent groups
- Free Normal Complements and the Unit Group of Integral Group Rings
- Free Subgroups in the Units of ℤ[K8 × Cp]
- Groups generated by two bicyclic units in integral group rings
- Central units of integral group rings of nilpotent groups
- A structure theorem for the unit group of the integral group ring of some finite groups
- Central units of integral group rings
- Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring
- Free Pairs of Bicyclic Units in the Integral Group Ring of the Dihedral Group
- Bicyclic units, Bass cyclic units and free groups
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