Explore: Subgroup Growth (mathematics)

In mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. Let G {\displaystyle

product of any number of mathematical structures. ⊕ {\displaystyle \oplus } 1.  Internal direct sum: if E and F are abelian subgroups of an abelian group V

growth, first proved by Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotent subgroups of

In mathematics, a congruence subgroup of a matrix group with integer entries is a subgroup defined by congruence conditions on the entries. A very simple

In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has

nilpotent subgroup of finite index. Prior to Grigorchuk's work, there were many results establishing growth dichotomy (that is, that the growth is always

"Subgroup Growth". In 2002 he has received the Rothschild Prize in mathematics. Lubotzky is listed as an ISI highly cited researcher in mathematics since

complex vector space) which is invariant under the action of a discrete subgroup Γ ⊂ G {\displaystyle \Gamma \subset G} of the topological group. Automorphic

In mathematics, a matrix (pl.: matrices) is a rectangular array of numbers or other mathematical objects with elements or entries arranged in rows and

Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer