Problems in the Calculation of Group Cohomology

1999 ◽  
pp. 107-120
Author(s):  
Jon F. Carlson
Keyword(s):  
Group Cohomology

The Euler class and periodicity of group cohomology

1978 ◽  
Vol 53 (1) ◽  
pp. 643-650 ◽  
Author(s):  
Stefan Jackowski
Keyword(s):  
Euler Class ◽  
Group Cohomology

scholarly journals Commutative algebra in group cohomology

1995 ◽  
Vol 98 (2) ◽  
pp. 151-162 ◽  
Author(s):  
J.P.C. Greenlees
Keyword(s):  
Commutative Algebra ◽  
Group Cohomology

Group Cohomology and Hecke Operators

1981 ◽  
pp. 223-266 ◽  
Author(s):  
Michio Kuga ◽  
Walter Parry ◽  
Chih-Han Sah
Keyword(s):  
Group Cohomology ◽  
Hecke Operators

scholarly journals Algorithms in A ∞-algebras

2018 ◽  
Vol 25 (4) ◽  
pp. 629-635
Author(s):  
Mikael Vejdemo-Johansson
Keyword(s):  
Persistent Homology ◽  
Group Cohomology ◽  
Dg Algebras ◽  
Work Done ◽  
Original Theorem

AbstractBased on Kadeishvili’s original theorem inducing{A_{\infty}}-algebra structures on the homology of dg-algebras, several directions of algorithmic research in{A_{\infty}}-algebras have been pursued. In this paper, we survey the work done on calculating explicit{A_{\infty}}-algebra structures from homotopy retractions, in group cohomology and in persistent homology.

scholarly journals Some remarks concerning harmonic functions on homogeneous graphs

2003 ◽  
Vol DMTCS Proceedings vol. AC,... (Proceedings) ◽  
Author(s):  
Anders Karlsson
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Function ◽  
Harmonic Functions ◽  
Cayley Graphs ◽  
Group Cohomology ◽  
Radial Variation ◽  
International Audience

International audience We obtain a new result concerning harmonic functions on infinite Cayley graphs $X$: either every nonconstant harmonic function has infinite radial variation in a certain uniform sense, or there is a nontrivial boundary with hyperbolic properties at infinity of $X$. In the latter case, relying on a theorem of Woess, it follows that the Dirichlet problem is solvable with respect to this boundary. Certain relations to group cohomology are also discussed.

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