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arXiv 2016-01-16 DOI 10.1007/s10474-016-0675-1 0 views

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

Kumar, C. P. Anil · Prajapati, S. K.

Original · EN

We find the exact size of a maximal non-commuting set in unipotent uppertriangular linear group UU₄(Fq) in terms of a non-commuting geometric structure (Refer Definition [10]), where Fq 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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