Results 131 to 140 of about 6,156 (235)

Products of finite abelian groups as profinite groups

, 2005
We investigate products of finite abelian groups of bounded exponent as profinite structures in the sense of Newelski. In such groups we describe orbits under the action of the standard structural group of automorphisms. Then we conclude that such groups
Krupiński, Krzysztof
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CH-groups which are finite p-groups [PDF]

International Journal of Group Theory, 2012
In their paper "Finite groups whose noncentral commuting elements have centralizers of equal size", S.Dolfi, M.Herzog and E. Jabara classify the groups in question- which they call CH-groups- up to finite p-groups. Our goal is to investigate the finite p-
Bettina Wilkens
doaj  

Cyclotomic Classes in a Product of Finite Abelian Groups and Applications

Journal of Mathematics
Cyclotomic classes of finite abelian groups have been extensively investigated for many decades, largely because of their nice algebraic structure and the breadth of their theoretical and practical applications.
Somphong Jitman
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  

A characterization of finite abelian groups via sets of lengths in transfer Krull monoids. [PDF]

Commun Algebra, 2018
Zhong Q.
europepmc   +1 more source

On finite abelian groups realizable as Mislin genera

, 2021
We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a ...
Hilton, P., Scevenels, D.
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Borel’S Fixed Point Theorem for Finite Dimensional Compact Abelian Groups

, 2019
In this paper, we extend some results of Borel’s localization theorems to actions of finite dimensional compact abelian groups which are extensions of a p-group by finite dimensional compact connected abelian groups.
Özkurt A.A., Onat M.
core   +1 more source

On finite abelian 𝑝-groups [PDF]

Bulletin of the American Mathematical Society, 1939
openaire   +2 more sources

On The Invariants of Finite Abelian Groups [PDF]

Proceedings of the National Academy of Sciences, 1951
openaire   +2 more sources

ABELIAN GROUPS WITHOUT TORSION WITH FINITE GROUPS OF AUTOMORPHISMS

, 1995
Abelian groups without torsion of a finite rank and their groups of automorphisms are investigated in the paper aiming at the construction of the structural theory of quasi-decomposition abelian groups without torsion of a finite rank with finite groups ...
Kozhukhov, Sergey Fedorovich
core