Finite field
Finite field In abstract algebra, a finite field or Galois field (so named in ... field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry ... Galois theory, cryptography, and coding theory. The finite fields are completely known, as will ...
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Finite field arithmetic
Finite field arithmetic Arithmetic in a finite field is different from standard arithmetic. All ... a limited number of numbers in the finite field; all operations performed in the finite field result in a number within that field. Finite fields are used in a variety ...
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Finite group
Finite group In mathematics, a finite group is a group which has finitely ... elements. Some aspects of the theory of finite groups were investigated in great depth in ... of the smaller general linear groups over finite fields. The group theorist J. L. Alperin ...
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Finite body   (translated from Dutch)
Finite body finite body (Dutch term) or finite field (Belgian term), Galois body or Galois ... to Evariste Galois ) are body with a finite number of elements. Finite fields are used in cryptografie , coderingstheorie , ...
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Tensor product of fields
Tensor product of fields In mathematics, the theory of fields in abstract algebra lacks a direct product: the direct product of two fields, considered as ring is never itself a ... it is often required to 'join' two fields K and L, either in cases where ... smaller field N. The tensor product of fields is the best available operation on ...
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Pro-finite group
Pro-finite group In mathematics, pro-finite groups are groups that are in a certain sense assembled from finite groups; they share many properties with the finite groups. Definition Formally, a pro-finite group is a Hausdorff compact and ...
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John Charles Fields
John Charles Fields John Charles Fields (May 14, 1863 - August 9, 1932) was ... Canadian mathematician and the founder of the Fields Medal for outstanding achievement in mathematics. First ... Hamilton, Ontario to a leather shop owner, Fields graduated from the Hamilton Collegiate Institute in ... at Johns Hopkins University in Baltimore, Maryland. Fields received his Ph.D. in 1887. ...
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Virtual finite automat   (translated from German)
Virtual finite automat VFSM execution in the virtual environment finite automat , defined in virtual environment is called Virtual finite automat (closely Virtual finite State Machine, VFSM). VFSM is a specification ... condition transitions and the transition actions. All fields are optional. A combinatorial VFSM is ...
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Virtual finite state machine
Virtual finite state machine Figure 1: VFSM in the Virtual Environment A finite state machine (FSM) defined in a virtual environment is called virtual finite state machine (VFSM). VFSM is a software ... state transition conditions and transition actions. All fields are optional. A pure combinatorial VFSM is ... Executable Specification, CompEuro 1992 Proceedings The Virtual Finite State Machine Design and Implementation Paradigm, ...
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Talk:Classification of finite simple groups
Talk:Classification of finite simple groups Would it be correct to ... are certain quotients of linear groups over finite fields. AxelBoldt 20:07 14 Jun 2003 (UTC ... point to where unitary groups over _finite_ fields and groups of Lie type are discussed ... better to have there the case of finite fields. You can see from the ...
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