Results 41 to 50 of about 52,812 (244)

Green’s relations for 2 × 2 matrices over linearly ordered abelian groups [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
We consider semigroups of 2 × 2 matrices over linearly ordered abelian groups with respect to multiplication, which is defined similarly to tropical algebra. We study Green’s relations on such semigroups.
Marilyn Kutti, Valdis Laan
doaj   +1 more source

Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]

open access: yesAdvances in Group Theory and Applications, 2018
Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
doaj   +1 more source

Large abelian subgroups of Chevalley groups [PDF]

open access: yesJournal of the Australian Mathematical Society, 1979
AbstractFor any group S let Ab(S) = {A∣A is an abelian subgroup of S of maximal order}. Let G be a Chevalley group of type An, Bn, Cn, or Dn over a finite field of characteristic p and let. In this paper Ab(U) is determined for all such groups.
openaire   +2 more sources

Pinned-flags of some operations on fuzzy subgroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Fuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of ...
B. B. Makamba, V. Murali
doaj   +1 more source

When the intrinsic algebraic entropy is not really intrinsic

open access: yesTopological Algebra and its Applications, 2015
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
doaj   +1 more source

Minimal non-abelian groups with an average condition on subgroups [PDF]

open access: yesJournal of Mahani Mathematical Research
For a finite group $G$, the average order   $o(G)$   is defined to be the average of all order elements in $G$. We say that $G$ satisfies the average condition if $o(H)\leq o(G)$ for all subgroups $H$ of $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

Diophantine problems in solvable groups [PDF]

open access: yesBulletin of Mathematical Sciences, 2020
We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta   +2 more
doaj   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

open access: yesМатематичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

Subgroup separability of graphs of abelian groups [PDF]

open access: yesProceedings of the American Mathematical Society, 2003
In the present paper we give necessary and sufficient conditions for the subgroup separability of the fundamental group of a finite graph of groups with finitely generated abelian vertex groups.
Metaftsis, V., Raptis, E.
openaire   +3 more sources

Placebo in Paediatric Clinical Trials: Systematic Literature Review and Framework‐Based Synthesis

open access: yesJournal of Paediatrics and Child Health, EarlyView.
ABSTRACT Introduction Placebo‐controlled trials can provide strong evidence on safety and efficacy, but their ethical acceptability in paediatric research is contested because children have limited decisional capacity and placebo use may entail withholding effective therapy.
Georgia Parry   +5 more
wiley   +1 more source

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