Results 21 to 30 of about 12,511,421 (301)

Inertial endomorphisms of an abelian group [PDF]

open access: yes, 2013
We describe inertial endomorphisms of an abelian group $$A$$A, that is endomorphisms $$\varphi $$φ with the property $$|(\varphi (X)+X)/X|
Ulderico Dardano, Silvana Rinauro
semanticscholar   +1 more source

Abelian networks III. The critical group [PDF]

open access: yes, 2015
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.
Bond, Benjamin, Levine, Lionel
core   +1 more source

Renormalization of an Abelian tensor group field theory: solution at leading order [PDF]

open access: yes, 2015
A bstractWe study a just-renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate field, which allows a precise characterization of the leading order ...
Vincent Lahoche, D. Oriti, V. Rivasseau
semanticscholar   +1 more source

THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER

open access: yesJournal of Kufa for Mathematics and Computer, 2010
For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas   +1 more
doaj   +1 more source

On the Norm of the Abelian p-Group-Residuals

open access: yesMathematics, 2021
Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
doaj   +1 more source

On nilpotent but not abelian groups and abelian but not cyclic groups

open access: yesJournal of Number Theory, 1988
AbstractWe derive asymptotic formulas for A(n) − C(n) = | {m < n: every group of order m is abelian but not every group of order m is cyclic}|, N(n) − A(n) = | {m < n: every group of order m is nilpotent but not every group of order m is abelian}|, and related counting functions from group theory.
Paul Erdös, Michael E. Mays
openaire   +2 more sources

Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]

open access: yesITM Web of Conferences
Linear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj   +1 more source

Brou\'e's abelian defect group conjecture holds for the Harada-Norton sporadic simple group $HN$ [PDF]

open access: yes, 2009
In representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime $p$, if a $p$-block $A$ of a finite group $G$ has an abelian defect group $P$, then $A$ and its Brauer ...
Koshitani, Shigeo, Müller, Jürgen
core   +3 more sources

Automorphisms of abelian group extensions [PDF]

open access: yes, 2009
Let $1 \to N \to G \to H \to 1$ be an abelian extension. The purpose of this paper is to study the problem of extending automorphisms of $N$ and lifting automorphisms of $H$ to certain automorphisms of $G$.Comment: 11 ...
Passi, I. B. S.   +2 more
core   +2 more sources

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