-группы.
-группы с регулярной ручкой
-группы с ядром произвольного ранга
Macdonald representations of complex reflection groups.
Machine calculations in Weyl groups.
Major indices and perfect bases for complex reflection groups.
Malnormal subgroups and Frobenius groups: basics and examples
Malnormal subgroups occur in various contexts. We review a large number of examples, and compare the general situation to that of finite Frobenius groups of permutations.In a companion paper [18], we analyse when peripheral subgroups of knot groups and -manifold groups are malnormal.
Mapping class group of a handlebody
Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.
Mapping tori of free group automorphisms are coherent.
Margulis Lemma, entropy and free products
We prove a Margulis’ Lemma à la Besson-Courtois-Gallot, for manifolds whose fundamental group is a nontrivial free product , without 2-torsion. Moreover, if is torsion-free we give a lower bound for the homotopy systole in terms of upper bounds on the diameter and the volume-entropy. We also provide examples and counterexamples showing the optimality of our assumption. Finally we give two applications of this result: a finiteness theorem and a volume estimate for reducible manifolds.
Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.
Matrix coefficients, counting and primes for orbits of geometrically finite groups
Let and for and when for , we obtain an effective archimedean counting result for a discrete orbit of in a homogeneous space where is the trivial group, a symmetric subgroup or a horospherical subgroup. More precisely, we show that for any effectively well-rounded family of compact subsets, there exists such that for an explicit measure on which depends on . We also apply the affine sieve and describe the distribution of almost primes on orbits of in arithmetic settings....
Matrix generators for the Harada-Norton group.
Matrix semigroups?generators and relations.
Matrix theoretic interpretation of the classical Markoff theory. (L'interprétation matricielle de la théorie de Markoff classique.)
Maximal groups of automorphisms of compact Riemann surfaces in various classes of finite groups.
Maximal index automorphisms of free groups with no attracting fixed points on the boundary are Dehn twists.
Maximal Nonparabolic Subgroups of the Modular Group.
Maximal quotient rings and essential right ideals in group rings of locally finite groups.
Let k be a commutative field. Let G be a locally finite group without elements of order p in case char k = p > 0. In this paper it is proved that the type I∞ part of the maximal right quotient ring of the group algebra kG is zero.
Mayer-Vietoriss Sequences for HNN-Groups and Homological Duality.