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The top homology of the lattice of subgroups of a soluble group

Jacques Thévenaz
1985 Discrete Mathematics  
Introduction Let G be a finite group, L(G) the lattice of all subgroups of G and L(G) = L(G)- (1, G} the poset of non-trivial proper subgroups of G.  ...  The description of the G-module structure of the top homology will be complete if we find the orbits in the G-set r.  ... 
doi:10.1016/s0012-365x(85)80005-4 fatcat:vwkkzr56zzdhhlkyklsbqzansm

Page 4507 of Mathematical Reviews Vol. , Issue 86j [page]

1986 Mathematical Reviews  
The latter gives information on the algebraic K-theory of noncommutative local rings.” Thévenaz, Jacques (CH-LAUS) 86j:20045 The top homology of the lattice of subgroups of a soluble group.  ...  In the present work, a description of the action of G on the top-dimensional homology is given.  ... 

On the homotopy type of the Quillen complex of finite soluble groups

Francesco Fumagalli
2005 Journal of Algebra  
We prove that the homotopy type of the Quillen complex of a finite soluble group at the prime p = 2 is that of a wedge of spheres of possible different dimensions.  2004 Elsevier Inc.  ...  I also thank Sandro Buoncristiano for suggesting me the proof of Proposition 11.  ...  nth homology groups of X ∨ Y and S.  ... 
doi:10.1016/j.jalgebra.2004.08.035 fatcat:w6kfn6mqdjgslkcfgpj62r7aay

Page 4842 of Mathematical Reviews Vol. , Issue 87i [page]

1987 Mathematical Reviews  
87i:20067 The proofs use homological techniques. The paper ends with a number of examples showing that the results cannot be improved for finite-by-nilpotent groups. J. A.  ...  The 3-orbit groups which are not of prime-power order are classified. It is shown that A; is the only insoluble 4-orbit group, and a structure theorem is proved for soluble 4-orbit groups.”  ... 

Bredon-Poincare Duality Groups [article]

Simon St John-Green
2014 arXiv   pre-print
all finite subgroups H of G.  ...  duality groups arising from actions on manifolds M where the dimensions of the submanifolds M^H are specified.  ...  In [Rag84][Rag95], examples of cocompact lattices in finite covers of the Lie group Spin(2, n) are given which are not virtually torsion-free. 4.6. Virtually Soluble Groups.  ... 
arXiv:1311.7629v2 fatcat:jias7ttdgjhcpe73tvbinqafbm

The Homological Invariants for Metabelian Groups of Finite Prüfer Rank: A Proof of the Σm -Conjecture

Holger Meinert
1996 Proceedings of the London Mathematical Society  
All three applications of our new criterion are needed for the proof of Theorem A in § 6. Some of our results also hold for soluble-by-finite groups of type FP^. Recall that, by a recent result of P.  ...  Our first application of this Z m -criterion yields a new characterization of the higher homological invariants in terms of a filtration of the (infinite) simplex spanned by the group G by subcomplexes  ...  Let G be a finitely generated soluble-by-finite group of finite Priifer rank, and let N be a normal subgroup of G with abelian quotient.  ... 
doi:10.1112/plms/s3-72.2.385 fatcat:haig54bfofau5c4ftdsd6tvd4q

The Aquaporins, Blueprints for Cellular Plumbing Systems

Peter Agre, Mélanie Bonhivers, Mario J. Borgnia
1998 Journal of Biological Chemistry  
While purifying the 32-kDa subunit of the red cell Rh blood group antigen, a new 28-kDa polypeptide was discovered (2).  ...  Detailed biochemical studies of this newly identified tetrameric membrane protein were made easy by its low solubility in N-lauroylsarcosine, which permitted simple purification (3).  ...  The existence of independent water and glycerol transporting domains was suggested by one group of scientists; the existence of a single pore was suggested by a second group; a third group incorrectly  ... 
doi:10.1074/jbc.273.24.14659 pmid:9614059 fatcat:53bsgop3xbdzvoxllpqtkze5fe

Finiteness properties of soluble arithmetic groups over global function fields

Kai-Uwe Bux
2004 Geometry and Topology  
Let G be a Chevalley group scheme and B<=G a Borel subgroup scheme, both defined over Z.  ...  Then, the S-arithmetic group B(O_S) is of type F_|S|-1 but not of type FP_|S|. Moreover one can derive lower and upper bounds for the geometric invariants Σ^m(B(O_S)).  ...  Soluble groups, eg, groups of upper triangular matrices form the other extreme.  ... 
doi:10.2140/gt.2004.8.611 fatcat:lhgijvlzbfhcbecuzrhv5vtbqq

Prediction of cloud condensation nuclei activity for organic compounds using functional group contribution methods

M. D. Petters, S. M. Kreidenweis, P. J. Ziemann
2015 Geoscientific Model Development Discussions  
Simulation of homologous series is used to identify the relative effectiveness of different functional groups in increasing the CCN activity of weakly functionalized organic compounds.  ...  This work describes a model to predict the CCN activity of organic compounds from functional group composition.  ...  This work was funded by the Department of Energy, Office of Biological and Environmental Sciences under grant DE-SC0010470. Edited by: A. Archibald  ... 
doi:10.5194/gmdd-8-7445-2015 fatcat:bldcvpddqnazvhtgqarwte5boq

Prediction of cloud condensation nuclei activity for organic compounds using functional group contribution methods

M. D. Petters, S. M. Kreidenweis, P. J. Ziemann
2016 Geoscientific Model Development  
Simulation of homologous series is used to identify the relative effectiveness of different functional groups in increasing the CCN activity of weakly functionalized organic compounds.  ...  This work describes a model to predict the CCN activity of organic compounds from functional group composition.  ...  This work was funded by the Department of Energy, Office of Biological and Environmental Sciences under grant DE-SC0010470. Edited by: A. Archibald  ... 
doi:10.5194/gmd-9-111-2016 fatcat:ul4oayl42fhmxjbjzyzcxiywea

Metabelianisations of finitely presented groups [article]

Ralph Strebel
2018 arXiv   pre-print
The considered classes include those of soluble groups, of one-relator or knot groups, and of Artin groups.  ...  In this article, I study some classes of finitely presented groups with the aim of finding out whether the maximal metabelian quotients of the members of these classes admit finite presentations.  ...  Being soluble is a property which rules out that the group in question does contain a non-abelian-free subgroup; being a member of a variety of groups distinct from the variety of all groups has the same  ... 
arXiv:1810.00176v2 fatcat:nwiyvxpge5axnkql46ljtjmxze

Brouwer degree, domination of manifolds, and groups presentable by products [article]

Pierre de la Harpe
2016 arXiv   pre-print
Löh: a group is presentable by a product if it contains two infinite commuting subgroups which generate a subgroup of finite index.  ...  The last section shows a small sample of groups which are not presentable by products; examples include appropriate Coxeter groups.  ...  (a consequence of the Cartan-Hadamard theorem); (1.iv) all manifolds of the form Γ\G/K, with G a connected Lie group, K a maximal compact subgroup of G, and Γ a torsion-free cocompact lattice in G (a  ... 
arXiv:1609.06637v1 fatcat:wvqigvlwjnb7naj43zbt2k7wxa

Topology of plane algebraic curves: the algebraic approach [article]

Alex Degtyarev
2009 arXiv   pre-print
We discuss the principle tools and results and state a few open problems concerning the classification and topology of plane sextics and trigonal curves in ruled surfaces.  ...  If X =X C for a simple sextic C ⊂ P 2 and E are the exceptional divisors contracted in P 2 , then the group in question is an index 2 subgroup of π 1 (P 2 C)/δ 2 , where δ is the class of a meridian.  ...  of oriented abstract homological types (H, o) with a prescribed group G of (anti-)automorphisms.  ... 
arXiv:0907.0289v1 fatcat:ouoxcfnwfzfi3jqiki3dooggdm

Positive-entropy integrable systems and the Toda lattice, II

LEO T. BUTLER
2010 Mathematical proceedings of the Cambridge Philosophical Society (Print)  
A central role is played by the Lax representation of a Bogoyavlenskij-Toda lattice.  ...  The classification of these systems, up to iso-energetic topological conjugacy, is related to the classification of abelian groups of Anosov toral automorphisms by their topological entropy function.  ...  From this, there is a natural Lie group structure on R b ⋆ A R =: S and Z b ⋆ A =: S Z is a lattice subgroup of S, c.f. 2.2.  ... 
doi:10.1017/s0305004110000356 fatcat:fk2bv5o5yndc3p3qcgccatk5im

Structural, Evolutionary, and Assembly Principles of Protein Oligomerization [chapter]

Emmanuel D. Levy, Sarah A. Teichmann
2013 Progress in Molecular Biology and Translational Science  
In Section 2, we describe the morphological properties of homomers, as well as the database 3DComplex, which provides a taxonomy for both homomeric and heteromeric protein complexes.  ...  The prevalence of homomers motivates us to review many of their properties.  ...  At the top most level, the similarity of simple features is sufficient to group complexes, and these groups are split into subgroups toward the bottom of the hierarchy, where similarity of more detailed  ... 
doi:10.1016/b978-0-12-386931-9.00002-7 pmid:23663964 fatcat:fbnllfrbsfdjleod2wujqsddaq
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