sylow group
1Sylow 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… …
2Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …
3Conway group — Group theory Group theory …
4Mathieu group — Group theory Group theory …
5O'Nan group — Group theory Group theory …
6Cyclic group — Group theory Group theory …
7Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …
8Janko group J1 — In mathematics, the smallest Janko group, J1, of order 175560, was first described by Zvonimir Janko (1965), in a paper which described the first new sporadic simple group to be discovered in over a century and which launched the modern theory of …
9p-group — Not to be confused with n group. In mathematics, given a prime number p, a p group is a periodic group in which each element has a power of p as its order: each element is of prime power order. That is, for each element g of the group, there… …
10Z-group — In mathematics, especially in the area of algebra known as group theory, the term Z group refers to a number of distinct types of groups: * in the study of finite groups, a Z group is a finite groups whose Sylow subgroups are all cyclic. * in the …
