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Metrics on permutations, a survey
 Journal of Combinatorics, Information and System Sciences
, 1998
"... Abstract: This is a survey on distances on the symmetric groups Sn together with their applications in many contexts; for example: statistics, coding theory, computing, bellringing and so on, which were originally seen unrelated. This paper initializes a step of research toward this direction in th ..."
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Abstract: This is a survey on distances on the symmetric groups Sn together with their applications in many contexts; for example: statistics, coding theory, computing, bellringing and so on, which were originally seen unrelated. This paper initializes a step of research toward this direction in the hope that it will stimulate more researchs and eventually lead to a systematic study on this subject. Distances on Sn were used in many papers in different contexts; for example, in statistics (see [Cr] and its references), coding theory (see [BCD] and its references), in computing (see, for example [Kn]), bellringing and so on. Here we attempt to give a brief bird’s view of distances on Sn according to types of problems considered:
A brief history of the classification of finite simple groups
 BAMS
"... Abstract. We present some highlights of the 110year project to classify the finite simple groups. ..."
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Abstract. We present some highlights of the 110year project to classify the finite simple groups.
The Classification of the Finite Simple Groups: An Overview
 MONOGRAFÍAS DE LA REAL ACADEMIA DE CIENCIAS DE ZARAGOZA. 26: 89–104, (2004)
, 2004
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Commuting Involution Graphs for 3Dimensional Unitary Groups
"... For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x,y ∈ X joined by an edge if x = y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) whe ..."
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For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x,y ∈ X joined by an edge if x = y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3dimensional projective special unitary group and X a Gconjugacy class of involutions, determining the diameters and structure of the discs of these graphs. 1
AUSTRALASIAN JOURNAL OF COMBINATORICS
"... The diameters of commuting graphs of linear groups and matrix rings over the integers modulo m ..."
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The diameters of commuting graphs of linear groups and matrix rings over the integers modulo m