Results 231 to 240 of about 151,737 (266)

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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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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On a conjecture of huppert for alternating groups

Archiv der Mathematik, 2002
Let \(G\) be a finite group. Let \(cd(G)\) denote the set of degrees of complex irreducible characters of \(G\). In the paper under review the following result on the alternating group is proved: Let \(n\geq 5\). Suppose that there is a prime \(p\) such that elements of \(cd(A_n)\) are either prime to \(p\) or \(p\)-powers and that some \(p\)-power ...
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Permutation generators of alternating groups

1990
The problem of generation of permutations from small ones is especially important from a cryptographic point of view. This work explores the case This work addresses the design of cryptographic systems using elementary permutations, also called modules. These modules have a simple structure and are based on internal smaller permutations. Two cases have
Josef Pieprzyk, Xian-Mo Zhang
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Recognizability of Alternating Groups by Spectrum

Algebra and Logic, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Group homes: alternative to institutions

Social Work, 1978
Increasing attention is being paid to group homes as an alternative form of residential care for adolescents. In the home described here, young people who had been recommended for hospitalization or long-term residential treatment were helped by nonprofessional counselors to deal with their problems successfully.
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Rational alternating groups

2012
Summary: We prove that only \(A_{10}\) is a rational alternating group.
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Superlocals in Symmetric and Alternating Groups

Algebra and Logic, 2003
Let \(G\) be a finite group and let \(p\) be a prime number. The largest normal \(p\)-subgroup of \(G\) is denoted by \(O_p(G)\). A subgroup \(N\) of \(G\) is called a \(p\)-superlocal in \(G\) if \(N=N_G(O_p(N))\). \textit{M.~Aschbacher} [Proc.
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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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On the structure of finite groups isospectral to an alternating group

Proceedings of the Steklov Institute of Mathematics, 2011
Let~\(G\) be a finite group. The set \(\omega(G)=\{|g|\mid g\in G\}\) is called its spectrum. A finite group~\(H\) is called isospectral to the group~\(G\) if \(\omega(H)=\omega(G)\). Researchers are mostly interested in groups isospectral to finite simple groups. The group \(G\) is called recognizable (by spectrum) if any group isospectral to~\(G\) is
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