Intersection Matrices for Finite Permutation Groups *

@inproceedings{Higman2003IntersectionMF,
title={Intersection Matrices for Finite Permutation Groups *},
author={D. G. Higman},
year={2003}
}
In this paper we study finite transitive groups G acting on a set Q. The results, which are trivial for multiply-transitive groups, directly generalize parts of the discussion of rank-3 groups in [4] and [5l. There arc close connections with Feit and Higman’s paper [2]. For each a EQ let us choose a G,-orbit d(a) # {CZ} so that d(a)8 = d(a”) for all a E Sz and g E G. Relative to LI we introduce a distunxe in Q based on taking the points of d(u) to be at distance 1 from a (see Section 1). The… CONTINUE READING

21 Citations
7 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 21 extracted citations
Highly Influenced
5 Excerpts
2 Excerpts

References

Publications referenced by this paper.
Showing 1-7 of 7 references

The nonexistence of certain generalized polygons

• W. FEIT, G. HIG.MAN
• Algebra
• 1964
Highly Influential
9 Excerpts

Some properties of groups admitting (B, M-pairs (Ph.D

• T. BICKEI
• Thesis, University of Michigan,
• 1965

• J TIX
• Ann. Math
• 1964
2 Excerpts

Double cosct matrices and group characters

• J. S. FRIrlE
• Bull. Am. Math. Sot
• 1943