Subgroup separability in integral group rings
Copyright policy )Subgroup separability in integral group rings
We give a list of finite groups containing all finite groups $G$ such that the group of units $\Z G^*$ of the integral group ring $\Z G$ is subgroup separable. There are only two types of these groups $G$ for which we cannot decide wether $ZG^*$ is subgroup separable, namely the central product $Q_8 Y D_8$ and $Q_8\times C_p{with} p \text{prime and} p\equiv -1 \mod (8)$.
9 pages
- Polytechnic University of Cartagena Spain
- University of Brasília Brazil
- University of Murcia Spain
Subgroup separable groups, integral group rings, Units, groups of units (associative rings and algebras), Algebra and Number Theory, Group rings, 16S34, 20C05, 16U60, Mathematics - Rings and Algebras, Group Theory (math.GR), finite groups, Groups of units, subgroup separability, Rings and Algebras (math.RA), FOS: Mathematics, groups of units, Mathematics - Group Theory, Group rings of finite groups and their modules (group-theoretic aspects), Residual properties and generalizations; residually finite groups
Subgroup separable groups, integral group rings, Units, groups of units (associative rings and algebras), Algebra and Number Theory, Group rings, 16S34, 20C05, 16U60, Mathematics - Rings and Algebras, Group Theory (math.GR), finite groups, Groups of units, subgroup separability, Rings and Algebras (math.RA), FOS: Mathematics, groups of units, Mathematics - Group Theory, Group rings of finite groups and their modules (group-theoretic aspects), Residual properties and generalizations; residually finite groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!