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- Title
Maximal non-commuting sets in certain unipotent upper-triangular linear groups.
- Authors
Anil Kumar, C.; Prajapati, S.
- Abstract
We find the exact size of a maximal non-commuting set in the unipotent upper triangular linear group $${UU_4(\mathbb {F}_q)}$$ in terms of a non-commuting geometric structure (refer to Definition 8), 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 strucuture.
- Subjects
LINEAR statistical models; FINITE element method; CARDINAL numbers; GRAPH theory; MATHEMATICS theorems
- Publication
Acta Mathematica Hungarica, 2017, Vol 151, Issue 1, p82
- ISSN
0236-5294
- Publication type
Article
- DOI
10.1007/s10474-016-0675-1