|
Zassenhaus Lemma
Zassenhaus is a German surname. Notable people with the surname include: * Hans Zassenhaus (1912–1991), German mathematician ** Zassenhaus algorithm ** Zassenhaus group ** Zassenhaus lemma * Hiltgunt Zassenhaus (1916–2004), German philologist who aided Scandinavian prisoners during World War II, sister of Hans Zassenhaus See also * Brauerei Zassenhaus, a German brewery in Velbert Velbert ( Low Rhenish: ''Vèlbed'') is a town in the district of Mettmann, in the German state of North Rhine-Westphalia. The town is renowned worldwide for the production of locks and fittings. Geography Velbert is located on the hills of 'Niede ... (see :de:Brauerei Zassenhaus) {{surname, Zassenhaus German-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hans Zassenhaus
Hans Julius Zassenhaus (28 May 1912 – 21 November 1991) was a German mathematician, known for work in many parts of abstract algebra, and as a pioneer of computer algebra. Biography He was born in Koblenz in 1912. His father was a historian and advocate for Reverence for Life as expressed by Albert Schweitzer. Hans had two brothers, Guenther and Wilfred, and sister Hiltgunt, who wrote an autobiography in 1974. According to her, their father lost his position as school principal due to his philosophy. She wrote:Hiltgunt Zassenhaus (1974) ''Walls: Resisting the Third Reich'', Beacon Press :Hans, my eldest brother, studied mathematics. My brothers Guenther and Wilfred were in medical school. ... only students who participated in Nazi activities would get scholarships. That left us out. Together we made an all-out effort. ... soon our house became a beehive. Day in and day out for the next four years a small army of children of all ages would arrive to be tutored. At the Universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zassenhaus Algorithm
In mathematics, the Zassenhaus algorithm is a method to calculate a basis for the intersection and sum of two subspaces of a vector space. It is named after Hans Zassenhaus, but no publication of this algorithm by him is known. It is used in computer algebra systems. Algorithm Input Let be a vector space and , two finite-dimensional subspaces of with the following spanning sets: :U = \langle u_1, \ldots, u_n\rangle and :W = \langle w_1, \ldots, w_k\rangle. Finally, let B_1, \ldots, B_m be linearly independent vectors so that u_i and w_i can be written as :u_i = \sum_^m a_B_j and :w_i = \sum_^m b_B_j. Output The algorithm computes the base of the sum U + W and a base of the intersection U \cap W. Algorithm The algorithm creates the following block matrix of size ((n+k) \times (2m)): :\begin a_&a_&\cdots&a_&a_&a_&\cdots&a_\\ \vdots&\vdots&&\vdots&\vdots&\vdots&&\vdots\\ a_&a_&\cdots&a_&a_&a_&\cdots&a_\\ b_&b_&\cdots&b_&0&0&\cdots&0\\ \vdots&\vdots&&\vdots&\vdots ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zassenhaus Group
In mathematics, a Zassenhaus group, named after Hans Zassenhaus, is a certain sort of doubly transitive permutation group very closely related to rank-1 groups of Lie type. Definition A Zassenhaus group is a permutation group ''G'' on a finite set ''X'' with the following three properties: * ''G'' is doubly transitive. *Non-trivial elements of ''G'' fix at most two points. *''G'' has no regular normal subgroup. ("Regular" means that non-trivial elements do not fix any points of ''X''; compare free action.) The degree of a Zassenhaus group is the number of elements of ''X''. Some authors omit the third condition that ''G'' has no regular normal subgroup. This condition is put in to eliminate some "degenerate" cases. The extra examples one gets by omitting it are either Frobenius groups or certain groups of degree 2''p'' and order 2''p''(2''p'' − 1)''p'' for a prime ''p'', that are generated by all semilinear mappings and Galois automorphisms of a field of or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zassenhaus Lemma
Zassenhaus is a German surname. Notable people with the surname include: * Hans Zassenhaus (1912–1991), German mathematician ** Zassenhaus algorithm ** Zassenhaus group ** Zassenhaus lemma * Hiltgunt Zassenhaus (1916–2004), German philologist who aided Scandinavian prisoners during World War II, sister of Hans Zassenhaus See also * Brauerei Zassenhaus, a German brewery in Velbert Velbert ( Low Rhenish: ''Vèlbed'') is a town in the district of Mettmann, in the German state of North Rhine-Westphalia. The town is renowned worldwide for the production of locks and fittings. Geography Velbert is located on the hills of 'Niede ... (see :de:Brauerei Zassenhaus) {{surname, Zassenhaus German-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hiltgunt Zassenhaus
Hiltgunt Margret Zassenhaus (10 July 1916 – 20 November 2004) was a German philologist who worked as an interpreter in Hamburg, Germany during World War II, and later as a physician in the United States. She was honoured for her efforts to aid prisoners in Nazi Germany during World War II. Early life Hiltgunt Zassenhaus was born in Hamburg to Julius H. and Margret Ziegler Zassenhaus. Her father was a historian and school principal who lost his job when the Nazi regime came to power in 1933. Her brothers were the mathematician Hans (known for the butterfly lemma and the Zassenhaus group), and physicians Günther and Willfried. Following a bicycling holiday in Denmark in 1933, she decided to study philology, specializing in the Scandinavian languages. She graduated from the University of Hamburg with a degree in Norwegian and Danish language in 1939 and continued her language studies at the University of Copenhagen. World War II In autumn 1940, Zassenhaus was employed as in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Velbert
Velbert ( Low Rhenish: ''Vèlbed'') is a town in the district of Mettmann, in the German state of North Rhine-Westphalia. The town is renowned worldwide for the production of locks and fittings. Geography Velbert is located on the hills of 'Niederberg' (meaning ''Lower Mountain''), part of the Berg region, approx. 20 kilometres north-east of the capital of North Rhine Westphalia, Düsseldorf, and 12 kilometers north-west of Wuppertal on the south side of the Ruhr river. Velbert stands on the highest part of the Niederberg region and also in its centre. Its average elevation is around 230 metres above sea level; its highest point, at 303 metres, is the ''Hordt-Berg'', and its lowest, at around 70.6 metres, is in Nierenhof am Deilbach. The highest point in Velbert itself is 263 metres above sea level, at the corner of Friedrichstraße and Langenberger Straße. Incorporation As part of the reform of local government districts in North Rhine-Westphalia that came into effect on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
