Results 291 to 300 of about 190,558 (333)

Products of $ \pi$-nilpotent subgroups

Sbornik: Mathematics, 1996
Summary: Let \(A\) and \(B\) be \(\pi\)-nilpotent subgroups of a finite group \(G\) and suppose that \((|G:A|,p)=(|G:B|,p)=1\) for all \(p\in\pi\). It is proved that if \(G\) is the product of \(A\) and \(B\) then \(G\) is a \(\pi\)-nilpotent group.
openaire   +2 more sources

Subgroups Of Direct Products Of Elementarily Free Groups

, 2005
.The structure of groups having the same elementary theory as free groups is now known: they and their finitely generated subgroups form a prescribed subclass $${\mathcal{E}}$$ of the hyperbolic limit groups.
M. Bridson, J. Howie
semanticscholar   +1 more source

The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

, 2006
Let F ⊆ SL2(ℤ) be a finite subgroup (necessarily isomorphic to one of ℤ2, ℤ3, ℤ4, or ℤ6), and let F act on the irrational rotational algebra Aθ via the restriction of the canonical action of SL2(ℤ).
S. Echterhoff, W. Lueck, N. Phillips, S. Walters   +3 more
semanticscholar   +1 more source

Primitive Subgroups of Wreath Products in Product Action

Proceedings of the London Mathematical Society, 1989
Let A be a finite permutation group on a set \(\Omega\) and let W be the wreath product A Wr \(S_ n\) in product action, i.e. in the obvious faithful permutation action on the cartesian power \(\Omega^ n\). This paper is concerned with finite primitive permutation groups G which are subgroups of W and are such that socles of G and W are the same.
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Direct products and isomorphism of fuzzy subgroups

Information Sciences, 1992
The author defines the internal direct product \(\mu \otimes \nu\) of two fuzzy subgroups \(\mu\) and \(\nu\) of a group \(G\). He also introduces a notion of homomorphism and isomorphism of fuzzy subgroups (of possibly different groups) and proves that \(\mu \otimes \nu\) is isomorphic to the external direct product \(\mu \times \nu\).
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On 2-generated subgroups and products of groups

Journal of Group Theory, 2008
This paper approaches the influence of 2-generated subgroups \(\langle a,b\rangle \), \(a,b\in G\), of a finite group \(G\) on the structure of the whole group. For a non-empty class of groups \(\mathcal F\), two subgroups \(A\) and \(B\) of a finite group \(G\) are said to be \(\mathcal F\)-connected if \(\langle a,b\rangle\in\mathcal F\) for every ...
Gállego, M. P., Hauck, P., Pérez-Ramos, M. D.   +2 more
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Subgroups of semidirect products

Ukrainian Mathematical Journal, 1992
See the review in Zbl 0741.20023.
openaire   +2 more sources

A characterization of subgroup containment in direct products

Ricerche di Matematica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brewster, Ben, Lewis, Dandrielle
openaire   +2 more sources

On CEP-subgroups of n-periodic products

Journal of Contemporary Mathematical Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On products of subgroups in polycyclic groups

, 1979
J. Lennox, John S. Wilson
semanticscholar   +1 more source