Results 11 to 20 of about 479 (213)
Geometric and homological methods in group theory: constructing small group resolutions [PDF]
, 2011 Given two groups K and H for which we have the free crossed resolutions, B* --> K and C* --> H respectively. Our aim is to construct a free crossed resolution, A* --> G, by way of induction on the degree n, for any semidirect product G = K x H.\ud First we show how to find a set Z1 of generators for the free group A1 and the corresponding unique ...
Gill, Olivia Jo
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Ergodic theoretic methods in group homology: a minicourse on l2-Betti numbers in group theory [PDF]
, 2020 This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers. Group homology integrates group actions into homological structure.
Löh, Clara
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Hodge theory-based biomolecular data analysis. [PDF]
Sci Rep, 2022 Hodge theory reveals the deep intrinsic relations of differential forms and provides a bridge between differential geometry, algebraic topology, and functional analysis.
Wei RKJ, Wee J, Laurent VE, Xia K.
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Realising fusion systems [PDF]
, 2007 We show that every fusion system (saturated or not) on a p-group S is equal to the fusion system associated to a discrete group G containing S as a subgroup and such that every finite subgroup of G is conjugate to a subgroup of ...
Stancu, Radu, Leary, Ian J.
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Geometric Structures in Group Theory [PDF]
The general subject of the conference was geometric group theory, that is the study of groups via suitable actions on spaces endowed with additional structures, for instance a distance, a measure (class), or both of them with natural compatibilities. The
Bridson, Martin R +3 more
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An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers [PDF]
, 2014 In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups.
Martin G. Fluch +3 more
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Twisted Isospectrality, Homological Wideness, and Isometry [PDF]
, 2023 The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics.
Peyerimhoff, Norbert +1 more
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The L-two cohomology of Artin groups [PDF]
, 2003 For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the
Leary, I.J., Davis, M.W.
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
Dieudonné theory for Faltings' strict ϭ-modules [PDF]
, 2005 The theory of group schemes and their liftings to mixed characteristic valuation rings is well-developed. In [Fal02], a new equi-characteristic analogue of group schemes, known as group schemes with strict ๕-action, or strict ๕-modules, was proposed and ...
Gibbons, William
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