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2011 IEEE 26th Annual Symposium on Logic in Computer Science, 2011
Our motivating question is a My hill-Nerode theorem for infinite alphabets. We consider several kinds of those: alphabets whose letters can be compared only for equality, but also ones with more structure, such as a total order or a partial order. We develop a framework for studying such alphabets, where the key role is played by the automorphism group
Mikolaj Bojanczyk +2 more
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Our motivating question is a My hill-Nerode theorem for infinite alphabets. We consider several kinds of those: alphabets whose letters can be compared only for equality, but also ones with more structure, such as a total order or a partial order. We develop a framework for studying such alphabets, where the key role is played by the automorphism group
Mikolaj Bojanczyk +2 more
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Proceedings of the London Mathematical Society, 1989
This paper concerns effective orientation-preserving differentiable actions of finite groups on 3-dimensional handlebodies (a handlebody is a g-holed solid torus, the number g is called the genus of the handlebody). A rich theory of such actios should be expected.
Miller A +2 more
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This paper concerns effective orientation-preserving differentiable actions of finite groups on 3-dimensional handlebodies (a handlebody is a g-holed solid torus, the number g is called the genus of the handlebody). A rich theory of such actios should be expected.
Miller A +2 more
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1996
© 1996 Cambridge University Press.
Becker, Howard, Kechris, Alexander S.
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© 1996 Cambridge University Press.
Becker, Howard, Kechris, Alexander S.
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Canadian Journal of Mathematics, 2001
AbstractA 2-action with “maximal number of isolated fixed points” (i.e., with only isolated fixed points such that dimk(⊕iHi (M; k)) = |M2|, k = ) on a 3-dimensional, closed manifold determines a binary self-dual code of length = . In turn this code determines the cohomology algebra H*(M; k) and the equivariant cohomology .
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AbstractA 2-action with “maximal number of isolated fixed points” (i.e., with only isolated fixed points such that dimk(⊕iHi (M; k)) = |M2|, k = ) on a 3-dimensional, closed manifold determines a binary self-dual code of length = . In turn this code determines the cohomology algebra H*(M; k) and the equivariant cohomology .
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2006
This chapter develops the basics of group theory, with particular attention to the role of group actions of various kinds. The emphasis is on groups in Sections 1–3 and on group actions starting in Section 6. In between is a two-section digression that introduces rings, fields, vector spaces over general fields, and polynomial rings over commutative ...
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This chapter develops the basics of group theory, with particular attention to the role of group actions of various kinds. The emphasis is on groups in Sections 1–3 and on group actions starting in Section 6. In between is a two-section digression that introduces rings, fields, vector spaces over general fields, and polynomial rings over commutative ...
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Social Choice and Welfare, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1995
Summary: We introduce the notion of chaotic group actions and give a preliminary report on their properties. In particular, we show that a group \(G\) possesses a faithful chaotic action on some Hausdorff space if and only if \(G\) is residually finite. This gives an elementary unified proof of the residual finiteness of certain groups.
Cairns, G. +4 more
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Summary: We introduce the notion of chaotic group actions and give a preliminary report on their properties. In particular, we show that a group \(G\) possesses a faithful chaotic action on some Hausdorff space if and only if \(G\) is residually finite. This gives an elementary unified proof of the residual finiteness of certain groups.
Cairns, G. +4 more
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Archiv der Mathematik, 2012
Let \(A\) be a group acting via automorphisms on a group \(G\), and let \(\Omega\) be the set of orbits in this action. Then \(C=C_G(A)\) acts on \(\Omega\) in a natural manner, and using this action, some divisibility information about \(|\Omega|\) is deduced. It is Theorem A that is the main theorem of this paper, namely: Theorem A. Let \(A\) act on \
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Let \(A\) be a group acting via automorphisms on a group \(G\), and let \(\Omega\) be the set of orbits in this action. Then \(C=C_G(A)\) acts on \(\Omega\) in a natural manner, and using this action, some divisibility information about \(|\Omega|\) is deduced. It is Theorem A that is the main theorem of this paper, namely: Theorem A. Let \(A\) act on \
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THE ACTION OF A GROUP ON A GRAPH
Mathematics of the USSR-Izvestiya, 1987See the review in Zbl 0616.05040.
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