Complements, baseless subgroups and sylow subgroups of infinite wreath products
Complements of Connected Subgroups in Algebraic Groups
Complements of the socle in almost simple groups
Complete growth series and products of groups.
Complète réductibilité
La notion de complète réductibilité d’une représentation linéaire peut se définir en termes de l’action de sur l’immeuble de Tits de . Cela suggère une notion analogue pour tous les immeubles sphériques, et donc aussi pour tous les groupes réductifs. On verra comment cette notion se traduit en termes topologiques et quelles applications on peut en tirer.
Completely decomposable abelian groups any pure subgroup of which is completely decomposable
Composition de séries formelles et corps de classes
Conformally non-sperical 2-complexes.
Conjugacy classes of -torsion in symplectic groups over -integers.
Conjugacy classes of series in positive characteristic and Witt vectors.
Let be the algebraic closure of and be the local field of formal power series with coefficients in . The aim of this paper is the description of the set of conjugacy classes of series of order for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic which are invertible and of finite order for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...
Conjugacy equivalence relation on subgroups
If G is a countable group containing a copy of F₂ then the conjugacy equivalence relation on subgroups of G attains the maximal possible complexity.
Conjugacy of Coxeter elements.
Conjugacy of subgroups of the general linear group.
Conjugacy pinched and cyclically pinched one-relator groups.
Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative to n-freeness,...
Conjugacy separability of some one-relator groups.
Conjugately dense subgroups in generalized FC-groups.
Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1.
Connected transversals -- the Zassenhaus case
In this short note, it is shown that if are -connected transversals for a finite subgroup of an infinite group such that the index of in is at least 3 and whenever and then is a normal abelian subgroup of .
Connected transversals to subnormal subgroups
Subnormal subgroups possessing connected transversals are briefly discussed.
Conservation Rules of Direct Sum Decomposition of Groups
In this article, conservation rules of the direct sum decomposition of groups are mainly discussed. In the first section, we prepare miscellaneous definitions and theorems for further formalization in Mizar [5]. In the next three sections, we formalized the fact that the property of direct sum decomposition is preserved against the substitutions of the subscript set, flattening of direct sum, and layering of direct sum, respectively. We referred to [14], [13] [6] and [11] in the formalization.