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Albert G. Howson
Albert Geoffrey Howson (1931 – 1 November 2022) was a British mathematician and educationist. He started to work as algebraist and in 1954 published the Howson property of groups and proved it for some types of groups. Later he devoted himself to the mathematics education and participated in reforms of mathematics education in the Great Britain and internationally. He was the editor-in-chief and chairman of Trustees of the School Mathematics Project in Great Britain and was involved in many other national and international projects. He worked at University of Southampton as head of the Department of Mathematics and Dean of the Faculty of Mathematical Studies and served as president of the Mathematical Association of Great Britain, and two terms as Secretary of the International Commission on Mathematical Instruction. Howson died on 1 November 2022, aged 91. References {{DEFAULTSORT:Howson, Albert G. British mathematicians 1931 births 2022 deaths ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory. The word ''algebra'' is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Howson Property
In the mathematical subject of group theory, the Howson property, also known as the finitely generated intersection property (FGIP), is the property of a group saying that the intersection of any two finitely generated subgroups of this group is again finitely generated. The property is named after Albert G. Howson Albert Geoffrey Howson (1931 – 1 November 2022) was a British mathematician and educationist. He started to work as algebraist and in 1954 published the Howson property of groups and proved it for some types of groups. Later he devoted himsel ... who in a 1954 paper established that free groups have this property. Formal definition A group (mathematics), group G is said to have the Howson property if for every finitely generated group, finitely generated subgroups H,K of G their intersection H\cap K is again a finitely generated subgroup of G. Examples and non-examples *Every finite group has the Howson property. *The group G=F(a,b)\times \mathbb Z does not ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
