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Journal of the Australian Mathematical Society, 1966 The concept of critical group was introduced by D. C. Cross (as reported byG. Higman in [5]): a finite group is calledcriticalif it is not contained in the variety generated by its proper factors. (Thefactorsof a groupGare the groups H/K where KH ≦G, and H/K is aproper factorofGunlessH = GandK=1).
Kovacs, L. G., Newman, M. F.
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Cuts and Flows of Cell Complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study the vector spaces and integer lattices of cuts and flows of an arbitrary finite CW complex, and their relationships to its critical group and related invariants.
Art M. Duval +2 more
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Non-Critical Confining Strings and the Renormalization Group [PDF]
, 1999 String vacua for non critical strings satisfying the requirements of Zig-Zag invariance are constructed. The Liouville mode is shown to play the r\^ole of scale in the Renormalization Group operation.
Alvarez +7 more
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Differential posets and restriction in critical groups [PDF]
, 2019 In recent work, Benkart, Klivans, and Reiner defined the critical group of a faithful representation of a finite group $G$, which is analogous to the critical group of a graph.
Agarwal, Ayush, Gaetz, Christian
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Радиационная гигиена, 2019 The protective actions which were carried out with the purpose to reduce public exposure to radiation derived from the accidents at Chernobyl and Fukushima-1 nuclear power plants have caused negative consequences of social – psychological both social ...
Yu. O. Konstantinov
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Dynamics near QCD critical point by dynamic renormalization group [PDF]
, 2011 We work out the basic analysis of dynamics near QCD critical point (CP) by dynamic renormalization group (RG). In addition to the RG analysis by coarse graining, we construct the nonlinear Langevin equation as a basic equation for the critical dynamics ...
Minami, Yuki
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Critical exponents from optimised renormalisation group flows [PDF]
, 2002 Within the exact renormalisation group, the scaling solutions for O(N) symmetric scalar field theories are studied to leading order in the derivative expansion. The Gaussian fixed point is examined for d>2 dimensions and arbitrary infrared regularisation.
Aoki +47 more
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Eigenvalues and critical groups of Adinkras
Advances in Applied Mathematics, 2023 Adinkras are signed graphs used to study supersymmetry in physics. We provide an introduction to these objects, and study the properties of their signed adjacency and signed Laplacian matrices. These matrices each have exactly two distinct eigenvalues (of equal multiplicity), making Adinkras closely related to the notions of strongly regular graphs. We
Iga, Kevin +3 more
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The monodromy pairing and discrete logarithm on the Jacobian of finite graphs
Journal of Mathematical Cryptology, 2010 Every graph has a canonical finite abelian group attached to it. This group has appeared in the literature under a variety of names including the sandpile group, critical group, Jacobian group, and Picard group.
Shokrieh Farbod
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The Fucik spectrum and critical groups [PDF]
Proceedings of the American Mathematical Society, 2001 We compute critical groups of zero for variational functionals arising from semilinear elliptic boundary value problems with jumping nonlinearities when the asymptotic limits of the nonlinearity fall in certain parts of Type (II) regions between curves of the Fucik spectrum.
Perera, Kanishka, Schechter, Martin
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