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Many properties of a group – such as whether or not it is abelian, which elements are inverses of which elements, and the size and contents of the group's center – can be discovered from its Cayley table. A simple example of a Cayley table is the one for the group {1, −1} under ordinary multiplication:
High school basketball: Scores for boys' and girls' games across the Southland on Tuesday, Jan. 7. ... WISH Academy 90, Burton 12 Workman 66, Ganesha 43 Yeshiva 99, Le Lycée 38
Follow this week’s high school basketball tournament live scores, results and schedules ... 12:30 (boys) Charlotte Christian vs. Richland Northeast (SC), 2
Thus, normalizing a Cayley table (putting the border headings in some fixed predetermined order by permuting rows and columns including the headings) preserves the isotopy class of the associated Latin square. Furthermore, if two normalized Cayley tables represent isomorphic quasigroups then their associated Latin squares are also isomorphic.
Scores and updates from boys high school basketball regional tournaments around Kentucky.
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South Bend area and Indiana state high school basketball scores for Friday, December 15, 2023
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