combinatorial group theory in nLab
combinatorial group theory in nLab
nLab combinatorial group theory ... Combinatorial group theory is an approach to the theory of discrete groups based on presentations of groups, ...
Lie and algebraic group(oid)s have their infinitesimal precursors like formal groups, local Lie groups, tangent Lie algebras, tangent Lie ...
Combinatorics is a field whose main subject (defining its central subfield of enumerative combinatorics) is the study of cardinality of finite sets of data.
The study of group presentations, their transformations etc. forms part of combinatorial group theory. 7. Presentations of monoids and other ...
combinatorial representation theory in nLab
nLab combinatorial representation theory · Peter Littelmann, Paths and root operators in representation theory, Ann. Math. 142 (1995) 499–525.
Given two finite presentations of the same group, one can be obtained from the other by a finite sequence of Tietze transformations. 4.
Combinatorial species - Wikipedia
In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for deriving the generating functions of discrete ...
The nLab - the (n-)category as a "grand narrative" in mathematics ...
... combinatorial or algebraic models . It is to the theory of ∞-groupoids as category theory is to the theory of groupoids (and hence of groups).
The Group With No Elements | The n-Category Café
It's easy to make the translation from monads to Lawvere theories. For a Lawvere theory L L , an element of L ( ...
higher category theory in nLab
On the other hand, in the geometric definition of higher category a combinatorial machinery is set up that allows to guarantee existence of ...
Examples of group-theoretic results more easily obtained through ...
Different topological (or combinatorial) properties will give you the meaning of group theoretic terms and behaviour of group multiplication.
Category theory and set theory: just a different language, or different ...
Set theory did a remarkable job in the 19th and 20th centuries of unifying mathematics, putting it all on a common foundation, and providing a ...
Motivation for the nLab's definition of cohomology?
For group cohomology, the nLab says: ... See this recent stackexchange answer for some concrete applications in group theory, only indicated in ...
In mathematics, especially in category theory and homotopy theory, a groupoid generalises the notion of group in several equivalent ways. A groupoid can be ...
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represent a resource theory in “A mathematical theory of resources” as a symmetric monoidal category (SMC), which is a familiar construction in applied category ...
Proofs that require fundamentally new ways of thinking - MathOverflow
"Use of group theory to prove insolvability of 5th degree equation"... but group theory almost didn't exist then (maybe some premises around ...
nlab-corpus/nlab_phrases_with_embeddings.txt at main - GitHub
... group abelian model category abelian sheaf abelian sheaf cohomology abelian ... theory abstract scattering theory abstraction acceleration accessible ...
From combinatorics of universal problems to usual applications. - LIPN
Evolution Equations in Combinatorics and Physics : Karol A. Penson, Darij ... https://ncatlab.org/nlab/show/Grothendieck+group. 8. Traces and hilbertian ...
Combinatorial Group Theory and Topology
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition.
combinatorial model category in nLab
Being combinatorial means that there is very strong control over the cofibrations in these model structures: there is a set (meaning small set, ...