Results 1 to 10 of about 120,594 (244)
Anomalies of non-Abelian finite groups via cobordism
Journal of High Energy Physics, 2022 We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and naturality of the η-invariant to relate anomalies in a group
Joe Davighi +2 more
doaj +1 more source
On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
doaj +1 more source
Illinois Journal of Mathematics, 1986 Let \(X\) be an associative ring. An \(X\)-group is a group \(G\) equipped with an action \(G\times X\to G\), \((g,x)\to g^ x\) such that \(g^ 1=g\), \((g^ x)^ y=g^{xy}\), \(g^ xg^ y=g^{x+y}\) for any \(x,y\in X\) and \(g\in G\). These groups were introduced by \textit{R. C. Lyndon} [Trans. Am. Math. Soc. 96, 518-533 (1960; Zbl 0108.02501)].
openaire +3 more sources
Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
doaj +1 more source
n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
doaj +1 more source
Some special classes of n-abelian groups [PDF]
International Journal of Group Theory, 2012 Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj
Many phases of generalized 3D instanton crystals
SciPost Physics, 2021 Nuclear matter at large number of colors is necessarily in a solid phase. In particular holographic nuclear matter takes the form of a crystal of instantons of the flavor group. In this article we initiate the analysis of the three-dimensional crystal
Matti Jarvinen, Vadim Kaplunovsky, Jacob Sonnenschein
doaj +1 more source
The abelianization of almost free groups [PDF]
Proceedings of the American Mathematical Society, 2000 Es wird eine Gruppe \(G\) der Mächtigkeit \(\aleph_1\) konstruiert, die nicht frei ist, aber deren abzählbare Untergruppen alle frei sind derart, dass auch die Kommutator-Faktorgruppe \(G/G'\) frei-abelsch ist. Dabei ist \(G'=[G,G]\) die Kommutator-Untergruppe von \(G\).
openaire +2 more sources
On Superstable Expansions of Free Abelian Groups [PDF]
Notre Dame Journal of Formal Logic, 2018 We prove that $(\Z,+,0)$ has no proper superstable expansions of finite Lascar rank. Nevertheless, this structure equipped with a predicate defining powers of a given natural number is superstable of Lascar rank $ $. Additionally, our methods yield other superstable expansions such as $(\Z,+,0)$ equipped with the set of factorial elements.
Palacín, Daniel, Sklinos, Rizos
openaire +5 more sources
Piranti Lunak Pengujian Struktur Matematika Grup, Ring, Field Berbasis Osp (Open Source Program)
ComTech, 2014 This design of a computer software is a development and continuation of the software made on the previous research (2009/2010). However, this further research developed and expanded the scopes of testing more on the Siclic Group, Isomorphism Group, Semi
Ngarap Im Manik, Don Tasman
doaj +1 more source