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Now showing items 101-110 of 164

#### Extended generalized octagons and the group He

(1995)

Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is ...

#### Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5

(1992)

Let Qn denote the set of the flag-transitive geometries with the diagram.
We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, ...

#### The extensions of the generalized quadrangle of order (3, 9)

(1996)

It is shown that there is only one extension of GQ(3, 9) namely the one admitting the sporadic simple groupMcL as a flag-transitive automorphism group. The proof depends on a computer calculation.

#### On (p^a,p^b,p^a,p^{a-b})-relative difference sets

(1996)

This paper provides new exponent and rank conditions for the existence of abelian relative (p^a,p^b,p^a,p^a-b) -difference sets. It is also shown that no splitting relative (2^2c,2^d,2^2c,2^2c-d)-difference set exists if ...

#### A local characterization of the graphs of alternating forms and the graphs of quadratic forms over GF(2)

(1993)

Let Δ be the line graph of PG(n –1,2), Alt(n,2) be the graph of the n-dimensional alternating forms over GF(2), n ≥ 4. Let Γ be a connected locally Δ graph such that 1. the number of common neighbours of any pair of vertices ...

#### Geometric characterization of the sporadic groups Fi22, Fi23, and Fi24

(1994)

Let Σ1, …, Σ4 be the 3-transposition graphs for Fischer's sporadic groups Fi21, …, Fi24. We classify connected locally Σi graphs gQ = gQi+1 for i = 1, 2, 3. In the minimal case i = 1 we also assume that for every nondegenerate ...

#### Extending polar spaces of rank at least 3

(1995)

It is shown that the extended polar space for the sporadic Fischer group Fi22 is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space ...

#### New examples of finite C ˜ 2-geometries

(1993)

The aim of this note is to present a series of examples of finite geometries with diagram, where q=2k and GQ-residues are of type T*2(T ∗ 2 (O) ).

#### Geometric characterization of graphs from the suzuki chain

(1993)

Let Σ0,…,Σ6 be the graphs from the Suzuki chain [12]. We classify connected locally Σi graphs Θi + 1 for i = 3, 4, 5. If i = 3, 4 then Θi + 1, is isomorphic to Σi + 1, whereas Θ6 is isomorphic either to Σ6 or to its 3-fold ...

#### The automorphism group and the convex subgraphs of the quadratic forms graph in characteristic 2

(1993)

We determine the automorphism group and the convex subgraphs of the quadratic forms graph Quad(n,q),q even.