Results 51 to 60 of about 5,046 (150)
Maximal subgroups of prime index in a finite solvable group [PDF]
Proceedings of the American Mathematical Society, 1978 In this note we show that a maximal subgroup of a finite solvable group has prime index if and only if it admits a cyclic supplement which permutes with one of its Sylow systems. In particular, a finite solvable group is supersolvable if and only if each maximal subgroup admits a cyclic supplement which permutes with a Sylow system of the maximal ...
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Subgroups of finite index and the just infinite property
Journal of Algebra, 2010 7 ...
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Automorphism Subgroups of Finite Index in Algebraic Mapping Class Groups
Journal of Algebra, 1997 The mapping class group of an orientable surface acts on the Teichmüller space giving rise to the corresponding moduli space. Many investigations into mapping class groups have thus utilised topological and analytic information in this analysis. For punctured surfaces, the fundamental groups are free and these mapping class groups may be described as ...
Dicks, Warren, Formanek, Edward
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Uniform finite presentation for groups of polynomial growth
Discrete AnalysisUniform finite presentation for groups of polynomial growth, Discrete Analysis 2025:1, 29 pp. Let $G$ be a finitely generated infinite group with generators $a_1,\dots,a_k$. The _ball of radius_ $r$ in $G$ is defined to be the set of all elements of $G$
Philip Easo, Tom Hutchcroft
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Residual separability of subgroups in free products with amalgamated subgroup of finite index
Sibirskii matematicheskii zhurnal, 2018 Let P be the free product of groups A and B with amalgamated subgroup H, where H is a proper subgroup of finite index in A and B. We assume that the groups A and B satisfy a nontrivial identity and for each natural n the number of all subgroups of index n in A and B is finite. We prove that all cyclic subgroups in P are residually separable if and only
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Finite index subgroups of R. Thompson's group F
, 2007 26 pages, 8 ...
Bleak, Collin, Wassink, Bronlyn
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On finite index subgroups of a universal group
, 2007 15 pages, 9 ...
Brumfiel, G. +7 more
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Subgroups of finite index in certain classes of finitely presented groups
Journal of Algebra, 1989 The author obtains the following results: (1) The group \(G=\) has, when n is odd, non-one-relator subgroups of index j for every integer \(j>1\) which is prime to the \(\nu_ i\). (2) If H is a normal subgroup of finite index in \(G=\) such that for some m, \((j,\nu_ m)=1\), then (a) the torsion-free rank of \(H/H'\) is \((n-2)j+1\), (b) if p is a ...
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Discontinuous characters and subgroups of finite index [PDF]
Pacific Journal of Mathematics, 1973 openaire +2 more sources
Controlling LEF growth in some group extensions. [PDF]
J Algebr Comb (Dordr)Bradford H.
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