Results 251 to 260 of about 15,265,231 (306)
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The h-Component Diagnosability of Alternating Group Graphs
International Journal of Foundations of Computer ScienceWith the rapid expansion of multiprocessor systems, the fault diagnosis is becoming more and more important. The [Formula: see text]-component diagnosability of a multiprocessor system, is proposed to extend the traditional diagnosability and has been ...
Nengjin Zhuo +3 more
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ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES
International Journal of Algebra and Computation, 2006In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the unique of these groups that is an H*-group, i.e., the groups achieving the upper bound of the order of an ...
J. J. Etayo Gordejuela, E. Martínez
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A characterization of alternating groups
Algebra and Logic, 2005Given a set \(I\), denote by \(A(I)\) the alternating group on \(I\), that is the group of all almost identical even permutations of \(I\). If \(|I|=n\) then \(A(I)=A_n\). Let \(|I|>4\) and let \(X\) be the set of all \(3\)-cycles \((i,j,k)\) with \(i,j,k\) distinct elements of \(I\). The set \(X\) is a conjugacy class in \(A(I)\), it generates \(A(I)\)
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Induced Representations and Alternating Groups
Canadian Journal of Mathematics, 1964This paper is based on part of the thesis of one of the authors (5), submitted at the University of Toronto in 1963. In the first part of the paper a result on induced representations (2, 4, 9) is generalized slightly and a number of corollaries are derived.
Puttaswamaiah, B. M. +1 more
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British Journal of Psychiatry, 1978
SummaryThis paper describes a supported lodgings scheme as an alternative to group homes. It is pointed out that the County Council has a statutory duty to finance supported lodgings and that schizophrenics are ideally suited to such a scheme. Some short-stay, the majority of the ‘new’ non-demented long-stay, and a large number of the ‘old’ long-stay ...
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SummaryThis paper describes a supported lodgings scheme as an alternative to group homes. It is pointed out that the County Council has a statutory duty to finance supported lodgings and that schizophrenics are ideally suited to such a scheme. Some short-stay, the majority of the ‘new’ non-demented long-stay, and a large number of the ‘old’ long-stay ...
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Structure Connectivity and Substructure Connectivity of Alternating Group Graphs
IEEE International Conference on Progress in Informatics and Computing, 2018The alternating group graph, denoted by AGn, is one of the popular interconnection networks. In this paper, we consider two network connectivities, H-structure-connectivity and H-substructure-connectivity, which are new measures for a network’s ...
Lantao You +5 more
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A note on the alternating group network
The Journal of Supercomputing, 2010The class of alternating group networks was introduced in the late 1990’s as an alternative to the alternating group graphs as interconnection networks. Recently, additional properties for the alternating group networks have been published. In particular, Zhou et al., J.
Eddie Cheng 0001 +2 more
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Markov Ciphers and Alternating Groups
2007This paper includes some relations between differential cryptanalysis and group theory. The main result is the following: If the one-round functions of an r-round iterated cipher generate the alternating or the symmetric group, then for all corresponding Markov ciphers the chains of differences are irreducible and aperiodic.As an application it will be
G. Hornauer, W. Stephan, Ralph Wernsdorf
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A characterization of alternating groups. II
Algebra and Logic, 2006[For part I, cf. Algebra Logika 44, No. 1, 54-69 (2005); translation in Algebra Logic 44, No. 1, 31-39 (2005; Zbl 1096.20004).] Summary: Let \(G\) be a group. A subset \(X\) of \(G\) is called an \(A\)-subset if \(X\) consists of elements of order 3, \(X\) is invariant in \(G\), and any two non-commuting members of \(X\) generate a subgroup isomorphic ...
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2009
The most familiar of the (finite non-abelian) simple groups are the alternating groups A n , which are subgroups of index 2 in the symmetric groups S n . In this chapter our main aims are to define these groups, prove they are simple, determine their outer automorphism groups, describe in general terms their subgroups, and construct their covering ...
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The most familiar of the (finite non-abelian) simple groups are the alternating groups A n , which are subgroups of index 2 in the symmetric groups S n . In this chapter our main aims are to define these groups, prove they are simple, determine their outer automorphism groups, describe in general terms their subgroups, and construct their covering ...
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