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      Cohomology of p-groups of nilpotency class smaller than p 

      Díaz Ramos, Antonio; Garayalde Ocaña, Oihana; González Sánchez, Jon (De Gruyter, 2018-01-17)
      Let p be a prime number, let d be an integer and let G be a d-generated finite p-group of nilpotency class smaller than p. Then the number of possible isomorphism types for the mod p cohomology algebra H^∗(G;F_p) is bounded ...
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      Cohomology of uniserial p-adic space groups and Carlson's conjecture 

      Garayalde Ocaña, Oihana (2016-10-14)
      Sea p un número primo y sea F_p el cuerpo finito de p elementos. Sea G un p-grupo de orden p^n y clase de nilpotencia m. Entonces, la coclase de G es c=n-m. En 2005, J.F. Carlson, demuestra que sólo hay un número finito ...
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      CW complexes and cellular homology 

      Arriola Corpion, Ander (2023-01-25)
      [EN] The objective of this work is to give an introduction to singular homology groups, to present CW complexes and their basic properties and to discuss the advantages these spaces have when computing their homology groups.
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      The cohomology of the sporadic group J2 over F3. 

      Díaz Ramos, Antonio; Garayalde Ocaña, Oihana (De Gruyter, 2014-08-19)
      We describe the cohomology ring H*(J_2; F_3) both as a subring of H*(3_+^{1+2};F_3) and with an abstract presentation. We also give its Poincaré series. Our calculational tool is the first author's spectral sequence for ...