Results 241 to 250 of about 19,346,652 (261)
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The Automorphism Groups of the Braid Groups
American Journal of Mathematics, 1981In the first of two papers published in the Annals in 1947 [3] Emil Artin mentioned the problem of determining all automorphisms of the braid groups (of the Euclidean plane), and in the second [4] took a first step towards a solution. The main result of this paper is a complete determination of these automorphism groups: the outer automorphism group is
Dyer, Joan L., Grossman, Edna K.
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The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 1960
Fundamentally, it is impossible to escape some kind of grouping of students. At one end of the scale is random or what we call heterogeneous grouping. At the other end, there is ability or some other type of homogeneous grouping in all major subject areas. In between, it is a question of how much grouping for whom and in what subjects.
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Fundamentally, it is impossible to escape some kind of grouping of students. At one end of the scale is random or what we call heterogeneous grouping. At the other end, there is ability or some other type of homogeneous grouping in all major subject areas. In between, it is a question of how much grouping for whom and in what subjects.
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ON THE CENTRE OF THE AUTOMORPHISM GROUP OF A GROUP
Bulletin of the Australian Mathematical Society, 2015If the centre of a group $G$ is trivial, then so is the centre of its automorphism group. We study the structure of the centre of the automorphism group of a group $G$ when the centre of $G$ is a cyclic group. In particular, it is shown that the exponent of $Z(\text{Aut}(G))$ is less than or equal to the exponent of $Z(G)$ in this case.
Farrokhi D. G., M. +1 more
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Groups, Groups of Groups, and Complex Stability
SSRN Electronic Journal, 2010Many politically and economically important groups are themselves comprised of groups. Examples of such multilevel group structures include coalition governments, labor confederations and multinational agreements. This paper develops a model of multilevel group structures.
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Stable Groups and Algebraic Groups
Journal of the London Mathematical Society, 2000Let \(G\) be a stable, saturated group, \(p\) be the strong type of an element of \(G\), and \(\langle p\rangle\) be the smallest type-definable (over \(\text{acl}(\emptyset)\)) subgroup of \(G\) containing \(p^G\). By \textit{L. Newelski}'s theorem [Notre Dame J. Formal Logic 32, No.
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Archiv der Mathematik, 1993
Let \(Q\) be a loop; then the mappings \(L_ a(x)=ax\) and \(R_ a(x)=xa\), where \(a\in Q\), are permutations of \(Q\), and they generate a permutation group \(M(Q)\), which is called the multiplication group of \(Q\). In the paper \(p\)-groups are considered as loop groups (a loop group is a group that is isomorphic to the multiplication group of a ...
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Let \(Q\) be a loop; then the mappings \(L_ a(x)=ax\) and \(R_ a(x)=xa\), where \(a\in Q\), are permutations of \(Q\), and they generate a permutation group \(M(Q)\), which is called the multiplication group of \(Q\). In the paper \(p\)-groups are considered as loop groups (a loop group is a group that is isomorphic to the multiplication group of a ...
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Groups, Group Cognition and Groupware
2005More than we realize it, knowledge is often constructed through interactions among people in small groups. The Internet, by allowing people to communicate globally in limitless combinations, has opened enormous opportunities for the creation of knowledge and understanding. A major barrier today is the poverty of adequate groupware.
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