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On the maximum orders of elements of finite almost simple groups and primitive permutation groups [PDF]

, 2013
We determine upper bounds for the maximum order of an element of a finite almost simple group with socle T in terms of the minimum index m(T) of a maximal subgroup of T: for T not an alternating group we prove that, with finitely many exceptions, the ...
Guest, Simon +3 more
core

Distinguishability of infinite groups and graphs [PDF]

, 2011
The distinguishing number of a group G acting faithfully on a set V is the least number of colors needed to color the elements of V so that no non-identity element of the group preserves the coloring.
E. Watkins +6 more
core +4 more sources

A note on some algebraic trapdoors for block ciphers

, 2018
We provide sufficient conditions to guarantee that a translation based cipher is not vulnerable with respect to the partition-based trapdoor. This trapdoor has been introduced, recently, by Bannier et al.
Calderini, Marco
core

Transitive and Co-Transitive Caps

, 2000
A cap in PG(r,q) is a set of points, no three of which are collinear. A cap is said to be transitive if its automorphism group in PGammaL(r+1,q) acts transtively on the cap, and co-transitive if the automorphism group acts transtively on the cap's ...
Cossidente, A., King, O. H.
core

Bounds for the Diameters of Orbital Graphs of Affine Groups. [PDF]