Results 271 to 280 of about 1,459,552 (317)

z-Classes in groups

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, Kitture, Rahul Dattatraya, Jadhav, Vikas S.   +2 more
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A class of periodic groups

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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On a class of metahamiltonian groups

Ricerche di Matematica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE FALCO, MARIA, DE GIOVANNI, FRANCESCO, MUSELLA, CARMELA   +2 more
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Cohopfian groups and accessible group classes

Pacific Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Giovanni F., Trombetti M.
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A Class of Imprimitive Groups

Algebra Colloquium, 2010
We classify imprimitive groups inducing the alternating group A4 on the set of blocks, with the inertia subgroup satisfying some very natural geometrical conditions which force the group to operate linearly.
BARTOLONE, Claudio, CIRAULO, Francesco
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On a Class of Supersoluble Groups

Southeast Asian Bulletin of Mathematics, 2003
It is well known that the product of two normal supersoluble subgroups need not be supersoluble in general. The author considers a class \(\mathfrak C\) of groups \(G\) which contain a normal subgroup \(N\) such that for some positive integer \(n\) every subgroup of the \(n\)th term of the lower central series of \(G/N'\) is normal in \(G/N'\).
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On a Class of Endotransitive Groups

Mathematical Notes, 2001
All 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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z-Classes in the mapping class group

Topology and its Applications, 2022
Let \(S_g\) 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, 1957
In 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, 2013
It 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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