order of proof
101Cauchy's theorem (group theory) — Cauchy s theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in G ), then G contains an element… …
102Sylow theorems — In mathematics, specifically group theory, the Sylow theorems, named after Ludwig Sylow, form a partial converse to Lagrange s theorem, which states that if H is a subgroup of a finite group G , then the order of H divides the order of G . The… …
103Simple group — In mathematics, a simple group is a group which is not the trivial group and whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, a normal subgroup and the… …
104Security certificate — This article is about the Canadian legal mechanism. For Internet security certificates, see Public key certificate. In Canadian law, a security certificate is a mechanism by which the Government of Canada can detain and deport foreign nationals… …
105Fundamental theorem of cyclic groups — In abstract algebra, the fundamental theorem of cyclic groups states that if G, is a cyclic group of order n, then every subgroup of G, is cyclic. Moreover, the order of any subgroup of G, is a divisor of n, and for each positive divisor k, of n …
106Smith conjecture — In mathematics, the Smith conjecture was a problem open for many years, and proved at the end of the 1970s. It states that if f is an orientation preserving diffeomorphism (not the identity) of the 3 sphere, of finite order and having some fixed… …
107Torsion subgroup — In the theory of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order. An abelian group A is called a torsion (or periodic) group if every element of A has finite… …
108Profit tax — in Hong Kong is Direct tax and also classified into Income tax.According to Cap.112 Hong Kong Ordinance, Inland Reveue Ordinance (in short, IRO) IRO Section 14, unless otherwise provides, profit tax shall be charged at the standard rate on any… …
109Chevalley–Warning theorem — In algebra, the Chevalley–Warning theorem implies that certain polynomial equations in sufficiently many variables over a finite field have solutions. It was proved by Ewald Warning (1936) and a slightly weaker form of the theorem, known as… …
110troubleproof — | ̷ ̷ ̷ ̷| ̷ ̷ adjective : free from or not subject to trouble; especially : not readily put out of order * * * /trub euhl proohf /, adj. not easily disturbed, disabled, injured, or put out of working order. [TROUBLE + PROOF] …
