3 citations · 5 across the 3 of their papers we have counts for
9 papers · 1 filter
Decompositions of looped co-H-spaces and applications
Jelena Grbic, Stephen Theriault, Jie Wu
We prove two homotopy decomposition theorems for the loops on co-H-spaces, including a generalization of the Hilton-Milnor Theorem. These are applied to problems arising in algebra…
The integral Pontrjagin homology of the based loop space on a flag manifold
Jelena Grbic, Svjetlana Terzic
The based loop space homology of a special family of homogeneous spaces, flag manifolds of connected compact Lie groups is studied. First, the rational homology of the based loop s…
Natural transformations of tensor algebras and representations of combinatorial groups
Jelena Grbic, Jie Wu
Natural linear and coalgebra transformations of tensor algebras are studied. The representations of certain combinatorial groups are given. These representations are connected to n…
Applications of combinatorial groups to Hopf invariant and the exponent problem
Jelena Grbic, Jie Wu
Combinatorial groups together with the groups of natural coalgebra transformations of tensor algebras are linked to the groups of homotopy classes of maps from the James constructi…
The cohomology of exotic 2-local finite groups
Jelena Grbic
There exist spaces BSol(q) which are the classifying spaces of a family of 2-local finite groups based on certain fusion system over the Sylow 2-subgroups of Spin_7(q). In this pap…
Universal homotopy associative, homotopy commutative H-spaces and the EHP spectral sequence
Jelena Grbic
Assume that all spaces and maps are localised at a fixed prime . We study the possibility of generating a universal space from a space which is universal in the categ…