-группы.
-группы с регулярной ручкой
-группы с ядром произвольного ранга
Macdonald formula for spherical functions on affine buildings
In this paper we explicitly determine the Macdonald formula for spherical functions on any locally finite, regular and affine Bruhat-Tits building, by constructing the finite difference equations that must be satisfied and explaining how they arise, by only using the geometric properties of the building.
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 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.
Martin's Axiom Applied to Existentially Closed Groups.
Matrix theoretic interpretation of the classical Markoff theory. (L'interprétation matricielle de la théorie de Markoff classique.)
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 subgroups and PST-groups
A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable...
Maximal Subgroups of the Finite Orthogonal and Unitary Groups Stabilizing Anisotropic Subspaces.
Mayer-Vietoriss Sequences for HNN-Groups and Homological Duality.
Median groups
Metabelian Representations and the Isomorphism Problem.
Metanilpotent Groups Satisfying the Minimal Condition for Normal Subgroups.
M-Groups and the Supersolvable Residual.
Mild 2-relator pro--groups.
Mixed product decompositions of a directed group