GVZ-groups, Flat groups, and CM-Groups
Copyright policy ) Shawn T. Burkett; Mark L. Lewis;
GVZ-groups, Flat groups, and CM-Groups
We show that a group is a GVZ-group if and only if it is a flat group. We show that the nilpotence class of a GVZ-group is bounded by the number of distinct degrees of irreducible characters. We also show that certain CM-groups can be characterized as GVZ-groups whose irreducible character values lie in the prime field.
- University System of Ohio United States
- Kent State University United States
Ordinary representations and characters, characters, Finite nilpotent groups, \(p\)-groups, 20C15, QA1-939, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, Mathematics, finite groups
Ordinary representations and characters, characters, Finite nilpotent groups, \(p\)-groups, 20C15, QA1-939, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, Mathematics, finite groups
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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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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