Proceedings - Mathematical Sciences

, Volume 126, Issue 2, pp 143–151 | Cite as

Existence of non-abelian representations of the near hexagon Q(5,2)⊗Q(5,2)

Article

Abstract

In [5], a new combinatorial model with four types of points and nine types of lines of the slim dense near hexagon Q(5,2)⊗Q(5,2) was provided and it was then used to construct a non-abelain representation of Q(5,2)⊗Q(5,2) in the extraspecial 2-group \(2_{-}^{1+18}\). In this paper, we give a direct proof for the existence of a non-abelian representation of Q(5,2)⊗Q(5,2) in \(2_{-}^{1+18}\).

Keywords

Near hexagon non-abelian representation extraspecial 2-group. 

2010 Mathematics Subject Classification.

05B25. 

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Copyright information

© Indian Academy of Sciences 2016

Authors and Affiliations

  1. 1.School of Mathematical SciencesNational Institute of Science Education and ResearchBhubaneswar, JatniIndia

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