Book ChapterDOI
Combinatorial Group Theory: COMBINATORIAL GROUP THEORY
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The article was published on 1989-01-01. It has received 1062 citations till now. The article focuses on the topics: Combinatorial group theory & Word (group theory).read more
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The Magnus expansion and some of its applications
TL;DR: Magnusson expansion as discussed by the authors provides a power series expansion for the corresponding exponent and is sometimes referred to as Time-Dependent Exponential Perturbation Theory (TEPT).
Journal ArticleDOI
Theta functions, modular invariance, and strings
TL;DR: In this paper, it was shown that the spin structure dependence of the chiral Dirac determinant on a Riemann surface is given by RiemANN's theta function, which was used to investigate the modular invariance of multiloop heterotic string amplitudes.
Journal ArticleDOI
Complex reflection groups, braid groups, Hecke algebras
TL;DR: Brou et al. as mentioned in this paper introduced monodromy representations of the braid groups which factorize through the Hecke algebras extending results of Cherednik Opdam Kohno and others.
Journal ArticleDOI
Symmetry in interconnection networks based on Cayley graphs of permutation groups: a survey
TL;DR: A comprehensive and unified analysis of symmetry in a wide variety of Cayley graphs of permutation groups, including the star graph, bubble-sort graph, modified bubble- sort graph, complete-transposition graph, prefix-reversal graph, alternating-group graph, binary and base-b (b ≥ 3) hypercube, cube connected cycles, bisectional graph, folded hypercube and binary orthogonal graph is provided.
References
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Journal ArticleDOI
The Magnus expansion and some of its applications
TL;DR: Magnusson expansion as discussed by the authors provides a power series expansion for the corresponding exponent and is sometimes referred to as Time-Dependent Exponential Perturbation Theory (TEPT).
Journal ArticleDOI
Theta functions, modular invariance, and strings
TL;DR: In this paper, it was shown that the spin structure dependence of the chiral Dirac determinant on a Riemann surface is given by RiemANN's theta function, which was used to investigate the modular invariance of multiloop heterotic string amplitudes.
Journal ArticleDOI
Complex reflection groups, braid groups, Hecke algebras
TL;DR: Brou et al. as mentioned in this paper introduced monodromy representations of the braid groups which factorize through the Hecke algebras extending results of Cherednik Opdam Kohno and others.
Journal ArticleDOI
Symmetry in interconnection networks based on Cayley graphs of permutation groups: a survey
TL;DR: A comprehensive and unified analysis of symmetry in a wide variety of Cayley graphs of permutation groups, including the star graph, bubble-sort graph, modified bubble- sort graph, complete-transposition graph, prefix-reversal graph, alternating-group graph, binary and base-b (b ≥ 3) hypercube, cube connected cycles, bisectional graph, folded hypercube and binary orthogonal graph is provided.