Results 11 to 20 of about 1,001 (205)

The Ribes-Zalesskii property of some one relator groups [PDF]

open access: yes, 2022
summary:The profinite topology on any abstract group $G$, is one such that the fundamental system of neighborhoods of the identity is given by all its subgroups of finite index.
Mantika, Gilbert   +2 more
core   +1 more source

Conjugacy classes of maximal cyclic subgroups [PDF]

open access: yes, 2023
In this paper, we study the number of conjugacy classes of maximal cyclic subgroups of a finite group , denoted η

core   +2 more sources

Internal Direct Products and the Universal Property of Direct Product Groups [PDF]

open access: yes, 2023
This is a “quality of life” article concerning product groups, using the Mizar system [2], [4]. Like a Sonata, this article consists of three movements.
Nelson, Alexander M.   +1 more
core   +1 more source

Constructions of chiral polytopes of small rank [PDF]

open access: yes, 2011
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbits on the flags, such that adjacent flags belong to distinct orbits. The present paper describes a general method for deriving new finite chiral polytopes
Egon Schulte   +5 more
core   +1 more source

The Abelian Groups of Large Order: Perspective from (Fuzzy) Subgroups of Finite p-Groups [PDF]

open access: yes, 2021
In the recent past, results have shown that Nilpotent groups such as p-groups, have normal series of finite length. Any finite p-group has many normal subgroups and consequently, the phenomenon of large number of non-isomorphic subgroups of a given order.
EniOluwafe, M.   +2 more
core  

On finitely generated normal subgroups of right-angled Artin groups and graph products of groups [PDF]

open access: yes, 2022
A classical result of Schreier states that nontrivial finitely generated normal subgroups of free groups are of finite index, that is, free groups can only quotient to finite groups with finitely generated kernel.
Zearra, Jone Lopez de Gamiz   +1 more
core   +1 more source

Groups of fast homeomorphisms of the interval and the ping-pong argument [PDF]

open access: yes, 2019
We adapt the Ping-Pong lemma, which historically was used to study free products of groups, to the setting of the homeomorphism group of the unit interval. As a consequence, we isolate a large class of generating sets for subgroups of Homeo+(I) for which
Tatch Moore, Justin   +4 more
core   +1 more source

Smarandache Fuzzy Algebra [PDF]

open access: yes, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy   +2 more
core   +1 more source

Generators and commutators in finite groups; abstract quotients of compact groups [PDF]

open access: yes, 2011
The first part of the paper establishes results about products of commutators in a d-generator finite group G, for example: if H {contains as normal subgroup} G = 〈g 1,.g r〉 then every element of the subgroup [H, G] is a product of f(r) factors of the ...
Segal, D   +4 more
core   +1 more source

Glider Representations of Group Algebra Filtrations of Nilpotent Groups [PDF]

open access: yes, 2017
: We continue the study of glider representations of finite groups G with given structure chain of subgroups e aS, G (1) aS,aEuro broken vertical bar aS, G (d) = G. We give a characterization of irreducible gliders of essential length e
Caenepeel, Frederik   +3 more
core   +1 more source

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