Results 291 to 300 of about 240,272 (354)

Local Covering Subgroups in Finite Groups

Acta Mathematica Sinica, English Series, 2021
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Locally Finite Suzuki–Higman 2-Groups

Algebra and Logic, 2018
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Locally Finite-Indicable Groups

Communications in Algebra, 2007
A group is locally ℜ-indicable if every finitely generated subgroup has a nontrivial homomorphism onto a nontrivial ℜ-group. If ℜ is a quasi-variety, then the class L(ℜ) of locally ℜ-indicable groups coincides with the class N(ℜ) of groups which have normal systems with factors in ℜ.
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Local Finite Group Theory

1982
The word local is used in finite group-theory in relation to a fixed prime p; thus properties of p-subgroups or their normalisers, for example, are regarded as local. In the case of a soluble group, then, everything is local, but an insoluble group also has global aspects.
Bertram Huppert, Norman Blackburn
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Locally Finite Representations of Polycyclic-by-Finite Groups

Proceedings of the London Mathematical Society, 1982
From the introduction: ``Let \(G\) be a polycyclic-by-finite group, \(k\) a field, and \(V\) a right \(kG\)-module of finite \(k\)-dimension. This work was motivated by Musson's result [in I. M. Musson, Q. J. Math., Oxf. II. Ser. 31, 429--448 (1980; Zbl 0413.16012)], that if \(k\) has positive characteristic then the injective hull \(E(V)\) of \(V\) is
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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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