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1 ON IMPRIMITIVE RANK 3 PERMUTATION GROUPS

by Alice Devillers, Michael Giudici, Cai Heng Li, Geoffrey Pearce, Cheryl E. Praeger
"... ar ..."
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Abstract not found

On the distribution of the length of the longest increasing subsequence of random permutations

by Jinho Baik, Percy Deift, Kurt Johansson - J. Amer. Math. Soc , 1999
"... Let SN be the group of permutations of 1, 2,...,N. If π ∈ SN,wesaythat π(i1),...,π(ik) is an increasing subsequence in π if i1 <i2 <·· · <ikand π(i1) < π(i2) < ···<π(ik). Let lN (π) be the length of the longest increasing subsequence. For example, if N =5andπis the permutation 5 1 ..."
Abstract - Cited by 495 (33 self) - Add to MetaCart
Let SN be the group of permutations of 1, 2,...,N. If π ∈ SN,wesaythat π(i1),...,π(ik) is an increasing subsequence in π if i1 <i2 <·· · <ikand π(i1) < π(i2) < ···<π(ik). Let lN (π) be the length of the longest increasing subsequence. For example, if N =5andπis the permutation 5 1

Three-dimensional object recognition from single two-dimensional images

by David G. Lowe - Artificial Intelligence , 1987
"... A computer vision system has been implemented that can recognize threedimensional objects from unknown viewpoints in single gray-scale images. Unlike most other approaches, the recognition is accomplished without any attempt to reconstruct depth information bottom-up from the visual input. Instead, ..."
Abstract - Cited by 484 (7 self) - Add to MetaCart
, three other mechanisms are used that can bridge the gap between the two-dimensional image and knowledge of three-dimensional objects. First, a process of perceptual organization is used to form groupings and structures in the image that are likely to be invariant over a wide range of viewpoints. Second

Imprimitive Permutation Groups and

by Kenneth G. Paterson, Kenneth G. Paterson , 1999
"... block, cipher, trapdoor, cryptanalysis, linear, differential, permutation, group © Copyright Hewlett-Packard Company 1999 An iterated block cipher can be regarded as a means of producing a set of permutations of a message space. Some properties of the group generated by the round functions of such a ..."
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block, cipher, trapdoor, cryptanalysis, linear, differential, permutation, group © Copyright Hewlett-Packard Company 1999 An iterated block cipher can be regarded as a means of producing a set of permutations of a message space. Some properties of the group generated by the round functions

Imprimitive Permutations Groups

by Generated By The, A. Caranti, F. Dalla Volta, M. Sala, Francesca Villani
"... We answer a question of Paterson, showing that all block systems for the group generated by the round functions of a key-alternating block cipher are the translates of a linear subspace. Following up remarks of Paterson and Shamir, we exhibit a connection to truncated di#erential cryptanalysis. ..."
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We answer a question of Paterson, showing that all block systems for the group generated by the round functions of a key-alternating block cipher are the translates of a linear subspace. Following up remarks of Paterson and Shamir, we exhibit a connection to truncated di#erential cryptanalysis.

The affine permutation groups of rank three

by Martin W. Liebeck - Proc. London Math. Soc , 1987
"... Introduction and statement of results Finite primitive permutation groups of rank 3 have been the subject of much study in the past twenty years, leading on the one hand to interesting new groups (for instance, some sporadic groups) and on the other to new techniques in the theory of permutation gro ..."
Abstract - Cited by 40 (2 self) - Add to MetaCart
Introduction and statement of results Finite primitive permutation groups of rank 3 have been the subject of much study in the past twenty years, leading on the one hand to interesting new groups (for instance, some sporadic groups) and on the other to new techniques in the theory of permutation

Imprimitive permutation groups and trapdoors in iterated block ciphers

by Kenneth G. Paterson, Kenneth G. Paterson - in Fast Software Encryption (L.R. Knudsen, ed), Lecture Notes in Computer Science 1636 (Springer–Verlag , 1999
"... block, cipher, trapdoor, cryptanalysis, linear, differential, permutation, group An iterated block cipher can be regarded as a means of producing a set of permutations of a message space. Some properties of the group generated by the round functions of such a cipher are known to be of cryptanalytic ..."
Abstract - Cited by 10 (1 self) - Add to MetaCart
block, cipher, trapdoor, cryptanalysis, linear, differential, permutation, group An iterated block cipher can be regarded as a means of producing a set of permutations of a message space. Some properties of the group generated by the round functions of such a cipher are known to be of cryptanalytic

The Rank 3 Permutation Representations Of The Finite Classical Groups

by William M. Kantor, Robert A. Liebler - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY , 1982
"... The permutation representations in the title are all determined, and no surprises are found to occur. ..."
Abstract - Cited by 28 (4 self) - Add to MetaCart
The permutation representations in the title are all determined, and no surprises are found to occur.

ON TRANSITIVE PERMUTATION GROUPS WITH AN IMPRIMITIVITY BLOCK OF PRIME LENGTH

by David Chillag
"... ABSTRACT. Let G be a transitive permutation group on a finite set 12. Let 23 ={A 1,A2,...,At) be a system of imprimitivity for G on 12 with [All = p, a prime. Assume that the kernel of G on 23 is not faithful on A 1. It is proved that either G contains a nontrivial normal elementary abelian p-subgro ..."
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ABSTRACT. Let G be a transitive permutation group on a finite set 12. Let 23 ={A 1,A2,...,At) be a system of imprimitivity for G on 12 with [All = p, a prime. Assume that the kernel of G on 23 is not faithful on A 1. It is proved that either G contains a nontrivial normal elementary abelian p

PROJECTIVE SYSTEMS OF IMPRIMITIVITY

by D. R. Grigore , 1994
"... We apply Mackey procedure of classifying projective systems of imprimitivity to a thorough study of the projective unitary irreducible representations of the Galilei group in 1+3 and 1+2 dimensions. 1 ..."
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We apply Mackey procedure of classifying projective systems of imprimitivity to a thorough study of the projective unitary irreducible representations of the Galilei group in 1+3 and 1+2 dimensions. 1
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