Results 221 to 230 of about 1,371,090 (265)
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Journal of Algebra and Its Applications, 2016
For a group [Formula: see text], we say that [Formula: see text] are in the same [Formula: see text]-class if their centralizers in [Formula: see text] are conjugate. The notion of [Formula: see text]-class has origin in a connection between geometry and groups.
Kulkarni, Ravindra +2 more
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For a group [Formula: see text], we say that [Formula: see text] are in the same [Formula: see text]-class if their centralizers in [Formula: see text] are conjugate. The notion of [Formula: see text]-class has origin in a connection between geometry and groups.
Kulkarni, Ravindra +2 more
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Algebra and Logic, 2005
A dihedral group is a group generated by two involutions. The authors call a group \(G\) saturated by dihedral groups, if every finite subgroup of \(G\) is contained in a dihedral subgroup of \(G\). First, the authors establish the structure of an arbitrary periodic group saturated by dihedral groups.
Shlepkin, A. K., Rubashkin, A. G.
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A dihedral group is a group generated by two involutions. The authors call a group \(G\) saturated by dihedral groups, if every finite subgroup of \(G\) is contained in a dihedral subgroup of \(G\). First, the authors establish the structure of an arbitrary periodic group saturated by dihedral groups.
Shlepkin, A. K., Rubashkin, A. G.
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Cohopfian groups and accessible group classes
Pacific Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Giovanni F., Trombetti M.
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On a class of metahamiltonian groups
Ricerche di Matematica, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE FALCO, MARIA +2 more
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On a Class of Endotransitive Groups
Mathematical Notes, 2001All groups in this article are Abelian. A torsion-free Abelian group \(A\) is said to be endotransitive if, for any nonzero elements \(a,b\in A\) with equal characteristics, there exists an endomorphism \(f\) of \(A\) such that \(fa=b\). The homogeneous endotransitive groups are precisely the E-transitive groups studied by the reviewer [J. Algebra 107,
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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.
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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.
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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 \(\mathrm{Mod}(S_g)\).
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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.
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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.
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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.
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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.
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