[PDF] Top 20 Free subgroups of surface mapping class groups
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Free subgroups of surface mapping class groups
... and mapping class groups, respectively, and recall only what we need ...a surface Σ will mean an orientable connected surface of negative Euler characteristic, with genus g and p ... See full document
13
MODULES OVER LOCALIZED GROUP RINGS FOR GROUPS MAPPING ONTO FREE GROUPS
... …nitely-generated free group, then all ideals in the group ring Q [F ] are free as Q [F ]-modules, with unique ...of free Q [F ]-modules are ...with free fundamental group (see ...the ... See full document
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Balanced subgroups of Abelian groups
... Abelian groups which are t^-divisible for all primes q + p ...torsion free rank 1 , and that the equivalence classes of the p-indicators associated with the members of such a direct sum are invariant for ... See full document
120
Near Frattini subgroups of residually finite generalized free products of groups
... generalized free product of the groups A and B with the amalgamated subgroup ...proper subgroups A 1 ,B 1 of finite index containing H; (ii) neither A nor B lies in the variety generated by H; (iii) H ... See full document
5
On finite groups with square-free conjugacy class sizes
... normal subgroups of a finite group needs not to be ...A. Subgroups A and B satisfying the latter condition are called mutually permutable (see ...normal subgroups of G, then G is the product of two ... See full document
8
A Certain Family of Subgroups of $\mathbb Z_n^\star$ Is Weakly Pseudo-Free under the General Integer Factoring Intractability Assumption
... abelian groups (using different terminology). (A variety of groups can be defined as a class of groups that is closed under taking subgroups, homomorphic images, and cartesian ...of ... See full document
11
An obstruction to the strong relative hyperbolicity of a group
... oriented surface without boundary, of finite topological type and negative Euler ...The mapping class group MCG(Σ) associated to Σ is the group of all homotopy classes of orientation preserving ... See full document
8
Uniformly exponential growth and mapping class groups of surfaces
... the mapping class group of an orientable surface with finitely generated fundamental group has uniformly exponential ...closed surface of genus two, and can be viewed as removing a possible ... See full document
6
Large scale geometry of curve complexes
... studying mapping class groups and Teichm¨ uller spaces of surfaces, with wider applications to the geometry of ...a surface, introduced by Harvey [32] as an analogue of Tits buildings for ... See full document
77
On free subgroups of finite exponent in circle groups of free nilpotent algebras
... Abstract. Let K be a commutative ring with identity and N the free nilpotent K-algebra on a non- empty set X. Then N is a group with respect to the circle composition. We prove that the subgroup generated by X is ... See full document
12
Surface Maps into Free Groups
... a surface with one boundary component which maps into a K(G, 1) in such a way that the image of its boundary loop maps to a loop representing the conjugacy class of ... See full document
110
RHOTRIX NORMAL SUBGROUPS AND QUOTIENT GROUPS
... purpose of reducing abstractions during teaching and learning of these concepts in abstract algebra. In the future, it may be interesting to consider extension of isomorphism theorems to subgroups of ... See full document
10
Subgroups, Lattice Structures, and the Number of Sylow -Subgroups for Symmetric Groups P
... various subgroups of the symmetric groups indicated ...symmetric groups and hence providing the pattern to be followed in finding the formula for calculating the exact number of the Sylow p ... See full document
59
Reducible subgroups of exceptional algebraic groups
... irreducible subgroups in each classical simple factor of each Levi subgroup of G, one can therefore construct the entire poset of G-cr connected subgroups from Theorem ...reductive subgroups of G are ... See full document
48
Commuting-Liftable Subgroups of Galois Groups
... Galois groups. In the pro-` case, one can detect inertia/decomposition groups of `-tamely branching valuations of almost arbitrary fields using the full pro-` Galois group as the input – see [EN94], [Efr95] ... See full document
164
Commuting-Liftable Subgroups of Galois Groups
... What information is encoded in Galois groups? This question is at the origins of anabelian geometry. Several results in the subject suggest that, in many special but important cases, the answer is “everything” ... See full document
161
The irreducible subgroups of exceptional algebraic groups
... Kac-Moody groups, geometric invariant theory, Lie algebras and representation ...to subgroups of Kac-Moody groups by Caprace in [Cap09] and more generally for twin buildings in ...algebraic ... See full document
197
Unipotent subgroups of reductive algebraic groups
... 3.3.1 Let G be a connected semisimple algebraic group of adjoint type defined over Suppose we have established the MT for an algebraically closed field of characteristic p>0... simple ad[r] ... See full document
146
On inequalities of subgroups and the structure of finite groups
... The authors are grateful to the referees for their helpful suggestions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11271301, 11171364, 11001226), the Scientific Research ... See full document
7
Quasiconvex subgroups and nets in hyperbolic groups
... In order to apply this geometric machinery to a group G, we consider its canonical action on a certain space, its Cayley graph. Hyperbolic groups are ones for which this associated space is hyperbolic in the sense ... See full document
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