The manifold of the unitary group over the dual numbers. (La variété du groupe unitaire dual.)
The mapping class group of a genus two surface is linear.
The Mathieu group and its pseudogroup extension .
The maximal quotient semigroup.
The maximal regular ideal of the semigroup of binary relations
The maximal semigroup of quotients of a finite semilattice.
The Maximal Semilattice Decomposition of a Semigroup
The Maximal Semilattice Decomposition of a Semigroup, Radicals and Nilpotency
The maximal subsemigroups of the ideals of some semigroups of partial injections
We study the structure of the ideals of the semigroup of all isotone (order-preserving) partial injections as well as of the semigroup of all monotone (order-preserving or order-reversing) partial injections on an n-element set. The main result is the characterization of the maximal subsemigroups of the ideals of and .
The maximum distinguishing number of a group.
The maximum order of finite groups of outer automorphisms of free groups.
The Milgram non-operad
C. Berger claimed to have constructed an -operad-structure on the permutohedras, whose associated monad is exactly the Milgram model for the free loop spaces. In this paper I will show that this statement is not correct.
The Minimal 5-Representation of Lyon's Sporadic Group.
The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz
The main result of this paper is a description of totally commutative idempotent groupoids. In particular, we show that if an idempotent groupoid (G,·) has precisely m ≥ 2 distinct essentially binary polynomials and they are all commutative, then G contains a subgroupoid isomorphic to the groupoid described below. In [2], this fact was proved for m = 2.
The minimal right -ideal of the free semigroup on a countable set
The minimizing of the Nielsen root classes
Given a map f: X→Y and a Nielsen root class, there is a number associated to this root class, which is the minimal number of points among all root classes which are H-related to the given one for all homotopies H of the map f. We show that for maps between closed surfaces it is possible to deform f such that all the Nielsen root classes have cardinality equal to the minimal number if and only if either N R[f]≤1, or N R[f]>1 and f satisfies the Wecken property. Here N R[f] denotes the Nielsen...
The Minimum group congruence on an ...-unipotent semi group.
The minimum reflexive subsemigroup generated generated by the sat of idempotents of a regular subsemigroup.
The Mitsch order on a semigroup.
The mixed elliptically fixed point property for Kleinian groups.