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Abstract We define the entropy of a graded algebra A = ⊕ n A n by lim sup n → ∞ dim A n . This is related to the notion of entropy in symbolic dynamics, and could serve as a natural dimension… (More)

The rank of a semigroup is the cardinality of a smallest generating set. In this paper we compute the rank of the endomorphism monoid of a non-trivial uniform partition of a finite set, that is, the… (More)

- Csaba Schneider, Hendrik Van Maldeghem
- J. Comb. Theory, Ser. A
- 2007

Suppose that an automorphism group $G$ acts flag-transitively on a finite generalized hexagon or octagon $\cS$, and suppose that the action on both the point and line set is primitive. We show that… (More)

The research described in this note aims at solving the constructive membership problem for the class of quasisimple classical groups. Our algorithms are developed in the black-box group model; that… (More)

We present a generalisation of the sifting procedure introduced originally by Sims for computation with finite permutation groups, and now used for many computational procedures for groups, such as… (More)

The title “LAGUNA” stands for “Lie AlGebras and UNits of group Algebras”. This is the new name of the GAP4 package LAG, which is thus replaced by LAGUNA. LAGUNA extends the GAP functionality for… (More)

We show that an elation generalised quadrangle which has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).

Let $a$ be a non-invertible transformation of a finite set and let $G$ be a group of permutations on that same set. Then $\genset{G, a}\setminus G$ is a subsemigroup, consisting of all non-invertible… (More)

A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper. This… (More)