Christopher Parker, Gernot Stroth
Abstract
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Abstract We identify the groups ${\text{PSU} }_{6} (2)$ , ${\text{PSU} }_{6} (2){: }2$ , ${\text{PSU} }_{6} (2){: }3$ and $\text{Aut} ({\text{PSU} }_{6} (2))$ from the structure of the centralizer of an element of order three.
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Abstract We identify the groups ${\text{PSU} }_{6} (2)$ , ${\text{PSU} }_{6} (2){: }2$ , ${\text{PSU} }_{6} (2){: }3$ and $\text{Aut} ({\text{PSU} }_{6} (2))$ from the structure of the centralizer of an element of order three.
Key concepts: Centralizer and normalizer, Mathematics, Socle, Identification (biology), Combinatorics, Order (exchange), Algebra over a field, Pure mathematics