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We compute the equivariant bordism of free oriented (Z/p)n‐manifolds as a module over Ω* SO , when p is an odd prime. We show, among others, that this module is canonically isomorphic to a direct sum ...
]$ into the derived category of $p$-DG modules over a polynomial ring. We reformulate the problem of bounding the total rank of the homology of perfect chain complexes over the group ring F [G] of an elementary abelian ...
In this paper, we approach the study of modules of constant Jordan type and equal images modules over elementary abelian p‐ groups Er of rank r⩾2 by exploiting a functor from the module category ...
Abstract: We show that categories of modules over a ring in Homotopy Type Theory (HoTT) satisfy the internal versions of the AB axioms from homological algebra. The main subtlety lies in proving AB4 ...
be checkerboard shaded, the Dehn presentation leads naturally to an abelian "Dehn coloring group ," an isotopy invariant of $\ell$. Introducing homological information from $S$ produces a stronger invariant, $\cal C ...
concerning the rank and homology of nite free complexes over commutative noetherian rings, and, in particular, over group algebras of elementary abelian groups . Conjecture 1.1. Let k be a eld of positive ...
We list explicitly a minimal set of generators for the cohomology of an elementary abelian p- group , V, of rank 1 or 2, as a module over the mod p Steenrod algebra, for an odd prime p. Following ...
]. 2. Brown–Peterson homology of elementary abelian groups In this section, we summarize our computations in some detail and motivate our approach. For simplicity and in accordance with an analogous ...
isomorphism class of simple modules , then B is nilpotent with an elementary abelian defect group P of order at least 3, and HH1(B) is in that case isomorphic to the Witt algebra HH1(kP) . In particular ...
, Algebraic geometry over groups I: Algebraic sets and ideal theory , J. Algebra 219 ( 1999 ), 16 – 79 . Google Scholar Crossref Search ADS 3 R. Bieri , Homological Dimension of Discrete Groups , 2nd edn ...
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