Distances in Algebra

Michel Marie Deza and Elena Deza
Additional contact information
Michel Marie Deza: École Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 10 in Encyclopedia of Distances, 2013, pp 183-195 from Springer

Abstract: Abstract A group (G,⋅,e) is a set G of elements with a binary operation ⋅, called the group operation, that together satisfy the four fundamental properties of closure (x⋅y∈G for any x,y∈G), associativity (x⋅(y⋅z)=(x⋅y)⋅z for any x,y,z∈G), the identity property (x⋅e=e⋅x=x for any x∈G), and the inverse property (for any x∈G, there exists an element x −1∈G such that x⋅x −1=x −1⋅x=e).

Keywords: Group Norm; Heisenberg Group; Cayley Graph; Banach Lattice; Riesz Space (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-30958-8_10

Ordering information: This item can be ordered from
http://www.springer.com/9783642309588

DOI: 10.1007/978-3-642-30958-8_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().