Next Article in Journal
Finite Convergence for Feasible Solution Sequence of Variational Inequality Problems
Previous Article in Journal
Image Interpolation via Scanning Line Algorithm and Discontinuous B-Spline
Article Menu

Export Article

Open AccessArticle
Math. Comput. Appl. 2017, 22(2), 35; doi:10.3390/mca22020035

3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs

1
Department of Mathematics Hunan, University of Humanities Science and Technology, Loudi 417000, China
2
School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China
*
Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 25 November 2016 / Revised: 25 May 2017 / Accepted: 29 May 2017 / Published: 15 June 2017
View Full-Text   |   Download PDF [1038 KB, uploaded 15 June 2017]   |  

Abstract

The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block-transitive 7–(v, k, 3) design and prove our main theorem: If the automorphism group of a 7–(v, k, 3) design is block-transitive, then it is neither isomorphic to Affine Type Groups nor Almost Simple Type Groups. View Full-Text
Keywords: block-transitive; 3-homogeneous groups; permutation group; Affine Type Groups; Almost Simple Type Groups block-transitive; 3-homogeneous groups; permutation group; Affine Type Groups; Almost Simple Type Groups
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Liao, X.; Chen, G.; Li, S. 3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs. Math. Comput. Appl. 2017, 22, 35.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top