Results 231 to 240 of about 19,909 (248)

Sylow Subgroups of Locally Finite Groups

Proceedings of the London Mathematical Society, 1971
The theorems of Sylow are among the most basic in the theory of finite groups, and Hall’s theorems on the existence and conjugacy of Hall π-subgroups occupy a similarly central position in the theory of finite soluble groups. It is therefore natural to ask for what kinds of infinite groups results like them are true, and to what extent other parts of ...
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Locally Finite Finitary Skew Linear Groups

Proceedings of the London Mathematical Society, 2001
Let \(D\) be a division ring and \(V\) a left vector space over \(D\). The set \(\text{FGL}(V)\) of all elements \(g\) in \(\text{GL}(V)\) satisfying \(\dim_DV(g-1)
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Simple Locally Finite Groups

1995
Beginning from basic principles, we outline the current state of affairs in the theory of locally finite simple groups. Particular emphasis is placed on constructions, Kegel sequences, and centralizers.
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On local categories of finite groups

Mathematische Zeitschrift, 2011
Let \(\mathcal P\) be a partially ordered set and let \(G\) be a group. Then \(\mathcal P\) is a \(G\)-poset if there is a group homomorphism \(G\to\Aut(\mathcal P)\) giving an action of \(G\) on \(\mathcal P\). The transporter category \(G\propto\mathcal P\) has the same objects as \(\mathcal P\) and morphisms from \(x\) to \(y\) are couples \((g,gx ...
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Sylow permutability in locally finite groups

Ricerche di Matematica, 2010
A subgroup \(H\) of a group \(G\) is called permutable, if \(HK=KH\) for every subgroup \(K\) of \(G\), and \(H\) is S-permutable (Sylow permutable), if \(HS=SH\) for every Sylow subgroup \(S\) of \(G\). A group \(G\) is said to be a PST-group if \(H\) is \(S\)-permutable in \(G\) whenever \(H\) is \(S\)-permutable in \(K\) and \(K\) is \(S ...
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LOCALLY FINITE GROUPS

Bulletin of the London Mathematical Society, 1975
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ZF and Locally Finite Groups

Mathematical Logic Quarterly, 1981
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Subnormality in Locally Finite Groups

Proceedings of the London Mathematical Society, 1974
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Locally Finite Groups

1973
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On locally finite groups of finite rank

Algebra and Logic, 1971
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