The Integral Cohomology Rings of Groups of Order p 3

DOI10.2307/1994856zbMath0217.34903OpenAlexW4242943804MaRDI QIDQ5621452

Gene Lewis

Publication date: 1968

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1994856

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40)

Related Items (44)

Complexity and multiple complexes ⋮ On the range of non-vanishing \(p\)-torsion cohomology for \(\text{GL}_n(\mathbb{F}_p)\). ⋮ The cohomology of \(SL_ 2(F_ p)\) and the Hecke algebra actions ⋮ On the cohomology of the sporadic simple group J₄ ⋮ On orders and vanishing of integral cohomology groups. ⋮ The integral cohomology rings of some p-groups ⋮ \(3\)-groups are not determined by their integral cohomology rings ⋮ The spectral sequence of a split extension and the cohomology of an extraspecial group of order \(p^ 3\) and exponent \(p\) ⋮ Chern classes and extraspecial groups ⋮ Cohomological exponents of ZG-lattices ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group ⋮ Chern classes and metacyclic p ‐groups ⋮ The splitting of cohomology of \(p\)-groups with rank 2 ⋮ The mod-p cohomology rings of some p-groups ⋮ Cohomology classes of the \(Qd (p)\) groups ⋮ Cohomology classes of \(Qd(3)\) ⋮ Chow rings of nonabelian \(p\)-groups of order \(p^{3}\) ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group. II. ⋮ Representations, resolutions and Quillen's dimension theorem ⋮ Cohomology of nilpotent groups of class 2 ⋮ The 3-local cohomology of the Mathieu group M₂₄ ⋮ Elementary abelian \({p}\)-groups are the only finite groups with the Borsuk-Ulam property ⋮ The mod p cohomology group of extra-special p-group of order p⁵ and of exponent p² ⋮ The integral cohomology of the Bianchi groups ⋮ Free actions of finite groups on $S^n \times S^n$ ⋮ The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p ⋮ Cohomology of Metacyclic Groups ⋮ Global anomalies on orbifolds ⋮ The ring generated by the elements of degree 2 in \(H^*(U_n(\mathbb{F}_p),\mathbb{Z})\) ⋮ The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes ⋮ The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory ⋮ The mod-p cohomology rings of metacyclic groups ⋮ Cohomology of infinitesimal algebraic groups ⋮ Bogomolov multipliers of some groups of order p⁶ ⋮ On odd degree parts of cohomology of sporadic simple groups whose Sylow \(p\)-subgroup is the extra-special \(p\)-group of order \(p^3\) ⋮ Minimal relations for certain finite p-groups ⋮ On Exponents of Homology and Cohomology of Finite Groups ⋮ Integrating functional programming and symbolic computation. ⋮ Classification of pointed fusion categories of dimension p3 up to weak Morita Equivalence ⋮ Free actions of p-groups (p>3) on Sⁿ×Sⁿ ⋮ The mod p cohomology ring of \(GL_ 3(F_ p)\) ⋮ The mod p cohomology rings of the nonabelian split metacyclic p-groups ⋮ Margolis homology and Morava \(K\)-theory for cohomology of the dihedral group ⋮ Riemann‐Roch formulae for group representations

This page was built for publication: The Integral Cohomology Rings of Groups of Order p 3