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arXiv · 1601.04133

Maximal Non-commuting Sets in Certain Unipotent Upper-triangular Linear Groups

C. P. Anil Kumar·S. K. Prajapati
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Abstract

We find the exact size of a maximal non-commuting set in unipotent uppertriangular linear group $UU_4(\mathbb{F}_q)$ in terms of a non-commuting geometric structure (Refer Definition [10]), where $\mathbb{F}_q$ is the finite field with $q$ elements. Then we get bounds on the size of such a set by explicitly finding certain non-commuting sets in the non-commuting structure.

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C. P. Anil Kumar, S. K. Prajapati. 2016-10-26. Maximal Non-commuting Sets in Certain Unipotent Upper-triangular Linear Groups. https://doi.org/10.1007/s10474-016-0675-1

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