A5060462794- Finite Group Theory Research
- Coding theory and cryptography
- semigroups and automata theory
- Data Mining Algorithms and Applications
- Recommender Systems and Techniques
- Geometric and Algebraic Topology
- Advanced Algebra and Geometry
- Consumer Market Behavior and Pricing
Adobe Systems (United States)
2020
Central European University
2012
Brigham Young University
2005
One way of expressing the self-duality $A\cong \Hom(A,\mathbb{C})$ Abelian groups is that their character tables are self-transpose (in a suitable ordering). Noncommutative fail to satisfy this property. In paper we extend duality some noncommutative considering when table finite group close being transpose for other group. We find dual each have normal subgroup lattices. show our concept cannot work non-nilpotent and describe $p$-group examples.
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Abstract One way of expressing the self-duality $A\cong {\rm Hom}(A,\mathbb{C})$ Abelian groups is that their character tables are self-transpose (in a suitable ordering). In this paper we extend duality to some noncommutative considering when table finite group close being transpose for other group. We find dual each have normal subgroup lattices. show our concept cannot work non-nilpotent and describe p -group examples.