Intersection Matrices for Finite Permutation Groups *

  title={Intersection Matrices for Finite Permutation Groups *},
  author={D. G. Higman},
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


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

The nonexistence of certain generalized polygons

  • Algebra
  • 1964
Highly Influential
9 Excerpts

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

  • Thesis, University of Michigan,
  • 1965

Algebraic and abstract simple groups

  • J TIX
  • Ann. Math
  • 1964
2 Excerpts

Double cosct matrices and group characters

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

Similar Papers

Loading similar papers…