Results 141 to 150 of about 68,261 (266)

An addition theorem for the elementary abelian group

Journal of Combinatorial Theory, 1968
Summary: Let \(S(a_1,\ldots, a_s)\) be the set of all sums over subsequences of a sequence \(\{a_1,\ldots, a_s\}\), \(a_1\neq 0\), from an abelian group \(G\). The author proves: If \(G\) is an abelian group of order \(p^n\) \((n\geq 2)\) then: (i) If \(s\geq 2^{n-1}(p-1)\) then \(S(a_1,\ldots, a_s)\) includes a coset of a subgroup of order \(p\). (ii)
openaire   +2 more sources

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Representations of elementary abelian p-groups and bundles on Grassmannians

, 2011
Jon Carlson, Eric M. Friedlander, Julia Pevtsova   +2 more
openalex   +1 more source

Solving Linear Constraints in Elementary Abelian p-Groups of Symmetries [PDF]

, 2011
Thierry Boy de la Tour, Mnacho Echenim
openalex   +1 more source

Structure theorems for braided Hopf algebras

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley   +1 more source

Actions of elementary Abelian p-groups

Topology, 1988
An n-dimensional near-manifold X is a locally compact topological space X such that for a closed subset \(S\subset X\), \(\dim S\leq n-2,\) X-S is a non-empty n-dimensional manifold. This definition has its usual generalizations and it is motivated by considering complex varieties with singular set S. The author continues the study of actions of \(G=({\
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A history of Galois fields

Khronos, 2016
This paper stresses a specific line of development of the notion of finite field, from Évariste Galois’s 1830 “Note sur la théorie des nombres,” and Camille Jordan’s 1870 Traité des substitutions et des équations algébriques, to Leonard Dickson’s 1901 ...
Frédéric BRECHENMACHER
doaj  

Invariant subspaces of matrix groups and elementary-abelian covers of K4,4

, 2011
Boštjan Kuzman
openalex   +2 more sources

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games [PDF]

, 2023
Linus Bao, Christy Hazel, Tia Karkos, Alice Kessler, Austin Nicolas, Kyle Ormsby, Jeremie Park, Cait Schleff, Scotty Tilton   +8 more
openalex   +1 more source

Varieties and elementary Abelian groups

Journal of Pure and Applied Algebra, 1982
Alperin, J.L., Evens, L.
openaire   +1 more source