Blocks with Equal Height Zero Degrees
Gunter Malle, Gabriel Navarro
TL;DR
This paper investigates blocks in representation theory where all height zero characters share the same degree, exploring their potential connection to Broue-Puig nilpotent blocks.
Contribution
It introduces the study of blocks with uniform height zero character degrees and hypothesizes their relation to Broue-Puig nilpotent blocks.
Findings
Identifies blocks with equal height zero character degrees
Suggests these blocks may be Broue-Puig nilpotent blocks
Provides a new perspective on block classification
Abstract
We study blocks all of whose height zero ordinary characters have the same degree. We suspect that these might be the Broue-Puig nilpotent blocks.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · graph theory and CDMA systems