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Étant donnés un système de racines $R$ d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à $R .$ Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de $R$ .

Series of nilpotent orbits.

Landsberg, J.M., Manivel, Laurent, Westbury, Bruce W. (2004)

Experimental Mathematics

SE-supplemented subgroups of finite groups

Wenbin Guo, Alexander N. Skiba, Nanying Yang (2013)

Rendiconti del Seminario Matematico della Università di Padova

Sets of lengths do not characterize numerical monoids.

Amos, Jeff, Chapman, S.T., Hine, Natalie, Paixão, João (2007)

Integers

Sets with two associative operations

Teimuraz Pirashvili (2003)

Open Mathematics

In this paper we consider duplexes, which are sets with two associative binary operations. Dimonoids in the sense of Loday are examples of duplexes. The set of all permutations carries a structure of a duplex. Our main result asserts that it is a free duplex with an explicitly described set of generators. The proof uses a construction of the free duplex with one generator by planary trees.

Several aspects on the hypergroups associated with $n$ -ary relations.

Cristea, Irina (2009)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Several quantitative characterizations of some specific groups

A. Mohammadzadeh, Ali Reza Moghaddamfar (2017)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be a finite group and let $π (G) = {p_{1}, p_{2}, ..., p_{k}}$ be the set of prime divisors of $| G |$ for which $p_{1} < p_{2} < \dots < p_{k}$ . The Gruenberg-Kegel graph of $G$ , denoted $GK (G)$ , is defined as follows: its vertex set is $π (G)$ and two different vertices $p_{i}$ and $p_{j}$ are adjacent by an edge if and only if $G$ contains an element of order $p_{i} p_{j}$ . The degree of a vertex $p_{i}$ in $GK (G)$ is denoted by $d_{G} (p_{i})$ and the $k$ -tuple $D (G) = (d_{G} (p_{1}), d_{G} (p_{2}), ..., d_{G} (p_{k}))$ is said to be the degree pattern of $G$ . Moreover, if $ω \subseteq π (G)$ is the vertex set of a connected component of $GK (G)$ , then the largest $ω$ -number which divides $| G |$ , is said to be an...

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Separating, Incompressible Surfaces in 3-Manifolds.

Separative P.I. semigroups are embeddable into a semilattice of groups.

Sequenceable groups and related topics.

Sequences in non-Abelian groups with distinct partial products.

Sequences realized as Parker vectors of oligomorphic permutation groups.

Série de Poincaré et systèmes de paramètres pour les invariants des formes binaires de degré 7

Serie de Poincaré-Koszul associée aux groupes de tresses pures.

Séries de compositions de modules instables et injectivité de la cohomologie du groupe Z/2.

Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines

Series of nilpotent orbits.

SE-supplemented subgroups of finite groups

Sets of lengths do not characterize numerical monoids.

Sets with two associative operations

Several aspects on the hypergroups associated with $n$ -ary relations.

Several quantitative characterizations of some specific groups

Sharply 2- and 3-transitive groups with kernels of finite index.

Sharply 2-transitive sets of permutations and groups of affine projectivities.

Sharply multiply homogeneous permutations groups, and rational scale types.

Sharply Transitive Linear Groups and Nearfields over p-adic Fields.

Sheaves of bounded p-adic logarithmic differential forms

Currently displaying 161 – 180 of 834