Results 261 to 270 of about 174,866,847 (300)
Some of the next articles are maybe not open access.
z-Classes in the mapping class group
Topology and its Applications, 2022Let \(S_g\) be the closed orientable surface of genus \(g \geq 2\) and let \(\text{Mod}(S_g)\) be the mapping class group of \(S_g\). Given two elements \(f,h \in \mathrm{Mod}(S_g)\), the elements \(f,h\) are \(z\)-equivalent (or in the same \(z\)-class) if their centralizers are conjugate in \(\mathrm{Mod}(S_g)\).
openaire +1 more source
On a Class of Transformation Groups
American Journal of Mathematics, 1957In order to apply our rather deep understanding of the structure of Lie groups to the study of transformation groups it is natural to try to single out a class of transformation groups which are in some sense naturally Lie groups. In this paper we iiltroduce such a class and commence their study. In Section 1 the inotioni of a l,ie transformation group
Gleason, Andrew M., Palais, Richard S.
openaire +1 more source
Mathematical Notes, 2002
Let \(B\) be a class of groups. The elementary class with base \(B\) (denote it by \({\mathfrak E}(B)\)) is defined as the minimal class of groups containing \(B\) and closed with respect to the following four standard operations: (S) taking subgroups; (Q) taking quotient groups; (E) group extensions; (L) taking direct (inductive) limits.
openaire +2 more sources
Let \(B\) be a class of groups. The elementary class with base \(B\) (denote it by \({\mathfrak E}(B)\)) is defined as the minimal class of groups containing \(B\) and closed with respect to the following four standard operations: (S) taking subgroups; (Q) taking quotient groups; (E) group extensions; (L) taking direct (inductive) limits.
openaire +2 more sources
ON A CLASS OF NORMAL ENDOMORPHISMS OF GROUPS
Journal of Algebra and Its Applications, 2013It is proved that if θ is an endomorphism of a group G such that 〈x, xθ〉 is cyclic for all elements x of G, then θ is a normal endomorphism of G, i.e. it commutes with all inner automorphisms of G.
de Giovanni F., Newell M. L., Russo A.
openaire +3 more sources
CLASS NUMBERS AND GROUPS OF ALGEBRAIC GROUPS
Mathematics of the USSR-Izvestiya, 1980The class number of an algebraic group G defined over a global field is the number of double cosets of the adele group GA with respect to the subgroups of integral and principal adeles. In most cases the set of double cosets has the natural structure of an abelian group, called the class group of G.
Platonov, V. P. +2 more
openaire +2 more sources
Quotient Groups of Groups of Certain Classes
Ukrainian Mathematical Journal, 2000Summary: For an arbitrary variety \(\mathfrak X\) of groups and an arbitrary class \(\mathfrak Y\) of groups that is closed under quotient groups we prove that a quotient group \(G/N\) of the group \(G\) possesses an invariant system with \(\mathfrak X\)- and \(\mathfrak Y\)-factors (respectively, is residually a \(\mathfrak Y\)-group) if \(G ...
Chernikov, N. S., Trebenko, D. Ya.
openaire +2 more sources
Minimal classes and maximal class inp-groups
Israel Journal of Mathematics, 1999The authors study finite non-commutative \(p\)-groups \(G\) with the property that the number of minimal classes (i.e., the smallest non-singleton conjugacy classes) is \(p-1\). Among others, they prove the following results. For such a group, \(Z_2(G)\) is an elementary Abelian \(p\)-group, \(|Z_2(G):Z(G)|=p\) and the minimal classes are exactly the ...
LONGOBARDI, Patrizia +2 more
openaire +3 more sources
Journal of Mathematical Sciences, 2014
The author considers subclasses of the class of all abelian MAP groups und studies under which hypotheses the mapping \(G\to G^\wedge\) from the subclass in the class of abelian groups is injective. \(G^\wedge\) denotes the character group of \(G\). He proves that for the class of all locally quasi--convex groups the mapping is not injective.
openaire +1 more source
The author considers subclasses of the class of all abelian MAP groups und studies under which hypotheses the mapping \(G\to G^\wedge\) from the subclass in the class of abelian groups is injective. \(G^\wedge\) denotes the character group of \(G\). He proves that for the class of all locally quasi--convex groups the mapping is not injective.
openaire +1 more source
ON A CLASS OF CYCLICALLY PRESENTED GROUPS
International Journal of Algebra and Computation, 2004This paper considers the problem for what n and ω is the cyclically presented group Gn(ω) irreducible and trivial and studies the case when [Formula: see text] and n≥5.
Martin Edjvet, Paul Hammond
openaire +1 more source
From Class Groups to Class Fields
1999Since the first printing of the book [35] by H. Zassenhaus and the author in 1989 algorithmic algebraic number theory has attracted rapidly increasing interest. This is documented, for example, by a regular meeting ANTS (algebraic number theory symposium) every two years whose proceedings [1], [6] give a good survey about ongoing research.
openaire +2 more sources