Results 121 to 130 of about 17,375 (238)

K2 of finite abelian group algebras

open access: yes, 2009
In this paper, we represent K2(F[G×Zp]) as the direct sum of K2(FG) and an elementary abelian p-group; using this we calculate K2(FG) when F is a finite field of odd prime characteristic and G is a finite abelian group of p2-rank ≤1. We also compute HDR1(
Tang, Guoping, Gao, Yubin
core   +1 more source

Abelian quandles and quandles with abelian structure group

open access: yes, 2019
Sets with a self-distributive operation (in the sense of (a ⊳ b) ⊳ c = (a ⊳ c) ⊳ (b ⊳ c)), in particular quandles, appear in knot and braid theories, Hopf algebra classification, the study of the Yang-Baxter equation, and other areas.
Lebed, Victoria, Mortier, Arnaud
core  

Abelian Group Actions and Hypersmooth Equivalence Relations

open access: yes, 2019
We show that any Borel action on a standard Borel space of a group which is topologically isomorphic to the sum of a countable abelian group with a countable sum of lines and circles induces an orbit equivalence relation which is hypersmooth.
Cotton, Michael R.
core   +1 more source

The Automorphism Group of Non-Abelian Group of Order p^4

open access: yesپژوهش‌های ریاضی, 2019
Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G)  , of the automorphism group of G../files/site1/files/52/8 ...
Reza Orfi
doaj  

ABELIAN NETWORKS III. THE CRITICAL GROUP

open access: yes, 2014
The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Lionel Levine, Benjamin Bond
core  

Compact abelian group actions on injective factors

open access: yes, 1992
We classify compact abelian group actions on injective type III factors up to conjugacy, which completes the final step of classification of compact abelian group actions on injective ...
Kawahigashi, Yasuyuki   +1 more
core   +1 more source

Abelian groups with a vanishing homology group

open access: yes, 1976
An abelian group A is called absolutely abelian, if in every central extension N ↣ G ↠ A the group G is also abelian. The abelian group A is absolutely abelian precisely when the Schur multiplicator H2A vanished.
Beyl, F.Rudolf
core   +1 more source

Riemann surfaces with a quasi large abelian group of automorphisms

open access: yesLe Matematiche, 2011
In this work we classify all Riemann surfaces having a quasi large abelian group of automorphisms, i.e. having an abelian group of automorphisms of order strictly bigger than 2(g−1), where g denotes the genus of the Riemann surface.
Roberto Pignatelli, Carmen Raso
doaj  

On Algebraic and Definable Closures for Theories of Abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

A Conic Algorithm for the Group Minimization Problem [PDF]

open access: yes
A new algorithm for the group minimization problem (GP) is proposed. The algorithm can be broadly described as follows. A suitable relaxation of(GP) is defined, in which any feasible point satisfies the group equation but may have negative components ...
Bruno Simeone
core  

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