product group
91Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… …
92Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …
93Extra special group — In group theory, a branch of mathematics, extra special groups are analogues of the Heisenberg group over fields of prime order p .DefinitionRecall that a finite group is called a p group if its order is a power of a prime p . A p group G is… …
94BSI Group — Infobox Company company name = BSI Group company company type = Non profit distributing incorporated body operating under Royal Charter foundation = 1901 location city = London location country = UK slogan = Raising standards worldwide products …
95Subdirect product — In mathematics, especially in the areas of abstract algebra known as universal algebra, group theory, ring theory, and module theory, a subdirect product is a subalgebra of a direct product that depends fully on all its factors without however… …
96Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… …
97Rubik's Cube group — The Rubik s Cube provides a tangible representation of a mathematical group. The Rubik s Cube group can be thought of as the set of all cube operations with function composition as the group operation. Any set of operations which returns the cube …
98Dihedral group — This snowflake has the dihedral symmetry of a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections.[1] Dihedr …
99List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …
100Word (group theory) — In group theory, a word is any written product of group elements and their inverses. For example, if x , y , and z are elements of a group G , then xy , z 1 xzz , and y 1 zxx 1 yz 1 are words in the set { x , y , z }. Words play an important role …
