On Some Combinatorial Structures Constructed from the Groups L(3,5)‎, U(5,2)‎, and S(6,2)‎

Joint Authors

Crnković, Dean
Mikulić Crnković, Vedrana

Source

International Journal of Combinatorics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-09-04

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We describe a construction of primitive 2-designs and strongly regular graphs from the simple groups L(3,5), U(5,2), and S(6,2).

The designs and the graphs are constructed by defining incidence structures on conjugacy classes of maximal subgroups of L(3,5), U(5,2), and S(6,2).

In addition, from the group S(6,2), we construct 2-designs with parameters (28,4,4) and (28,4,1) having the full automorphism group isomorphic to U(3,3):Z2.

American Psychological Association (APA)

Crnković, Dean& Mikulić Crnković, Vedrana. 2011. On Some Combinatorial Structures Constructed from the Groups L(3,5), U(5,2), and S(6,2). International Journal of Combinatorics،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-448649

Modern Language Association (MLA)

Crnković, Dean& Mikulić Crnković, Vedrana. On Some Combinatorial Structures Constructed from the Groups L(3,5), U(5,2), and S(6,2). International Journal of Combinatorics No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-448649

American Medical Association (AMA)

Crnković, Dean& Mikulić Crnković, Vedrana. On Some Combinatorial Structures Constructed from the Groups L(3,5), U(5,2), and S(6,2). International Journal of Combinatorics. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-448649

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-448649