Results 141 to 150 of about 640,694 (180)

ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES

International Journal of Algebra and Computation, 2006
In 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 ...
Etayo Gordejuela, J. J., Martínez, E.
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A characterization of alternating groups

Algebra and Logic, 2005
Given 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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An Alternative to Group Homes

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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Weight Theory for Alternating Groups

Algebra Colloquium, 2008
We use techniques of Okounkov and Vershik to study the ordinary representation theory of the alternating groups without relying on the classical results for the symmetric groups. We classify and construct the simple modules, and study their branching properties.
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The alternating groups

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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Groups isospectral to the degree 10 alternating group

Siberian Mathematical Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rational alternating groups

2012
Summary: We prove that only \(A_{10}\) is a rational alternating group.
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The Group Management Alternative

2016
People who are collaborating can share and organize files in two main ways: performing Group Information Management (GIM) using a common repository or performing Personal Information Management (PIM) by distributing files as e-mail attachments and storing them in personal repositories. One potential benefit for GIM is that it reduces the need for every
Ofer Bergman, Steve Whittaker
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Symmetric and Alternating Groups

2018
We have seen the definition of the symmetric group \(S_n\), but so far, we do not have too much experience with it. In this chapter, we will introduce the notions of cycles and, in particular, transpositions, which are important elements of the symmetric group. These will help us to understand the group.
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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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