Internet is wonderful

A Group (G,*) is a set G with a law * having the following properties: 1) for each a,b in G, a*b is in G, 2) it exists an element e in G such that for each a in G, a*e = e*a = a 3) for each a in G, it exists b in G such that a*b = b*a = e 4) for each a,b,c in G, (a*b)*c = a*(b*c)

01 August 2015 ~ 0 Comments

A long time ago

I worked hard since my last post a year ago, mostly on isomorphism of finite groups which is a decidable problem. Isomorphism problem is a hard problem which is known to be decidable for most groups since it is decidable for hyperbolic groups (see arXiv:1002.2590 ”The isomorphism problem for all hyperbolic groups” from François Dahmani, Vincent Guirardel). However we […]

27 April 2014 ~ 0 Comments

Today is a good day

Step by step. This could the adage of my work. Slowly. Patiently. Today is a great day. I work hard since several months (neally a year) on the isomorphism problem in groups (google it, if you don’t know what is it). Having worked neally all the week end on an idea that surged last week, […]

25 April 2014 ~ 0 Comments

This week: The isomorphism problem once again

Pursuing my study of presentations of groups, I worked mainly this week on GAP adding some functions to my package. These functions are:  DanDisplayTree( Tree, Gens, TypeDisplay )*   DanExtractTreeFromTable( CT, Generators, Sec )* and I used them in the following GAP program: disp := “C:\\Users\\papa\\Desktop\\MesProgrammes\\Tests\\toto2.txt” ; OutputLogTo( disp ) ; ShowPackageVariables(“Daniel”) ; G := SmallGroup(16,2) […]

21 April 2014 ~ 0 Comments

La biblioteca de Babel

Internet is wonderful. When I was young (yesterday) it was complicated to get the info about some subject without going to a physical library. Today with so many people connected, writing and sharing online, everyone connected can study a subject without leaving home. With Internet, human kind created a new library of babel. Actually this library […]

20 April 2014 ~ 0 Comments

Mathematical Ideas

Working on triangles in groups (different from triangle group) makes me explore in fact some kind of symmetries in non abelian groups. If you google this subject (symmetries in non abelian groups), you will find that not a lot of references exist. I found a book “Inverse semigroups: the theory of partial symmetries” which may […]

19 April 2014 ~ 0 Comments

Gazette des mathématiciens

This week I received the last edition (April 2014) of “Gazette des mathématiciens”. This quaterly journal is edited by Société Mathématique de France and always contains some interesting articles on subjects related to mathematics.  There are 7 or 8 parts, but the most important ones are the following: Mathematics, Teaching, Informations, Books.   In this […]

19 April 2014 ~ 0 Comments

Magmas and Triangles

This week I worked on some kind of magmas. Magmas are the most simple algebraic structures. They are sets with an operation (for example addition) but this operation has no special property except closure. Closure is the property that the addition of 2 elements of a set S gives an element of the set S. […]

12 April 2014 ~ 0 Comments

Presentations of Groups to order 128

The last breakthroughs in theory of groups rely heavily on presentations of groups. This is a notion I understand quite well, but I’m not a specialist of it so I’m going to study presentations of groups and do some work on these presentations in the next months in order to be fluent with this notion.  So I […]

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