Bernd Fischer is a German mathematician.

He is best known to his contributions to the classification of finite simple group

Simple group

In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, a normal subgroup and the quotient group, and the process can be repeated...

s, and he discovered several of the sporadic group

Sporadic group

In the mathematical field of group theory, a sporadic group is one of the 26 exceptional groups in the classification of finite simple groups. A simple group is a group G that does not have any normal subgroups except for the subgroup consisting only of the identity element, and G itself...

s: he introduced 3-transposition group

3-transposition group

In mathematical group theory, a 3-transposition group is a group generated by a class of involutions such that the product of any two has order at most 3...

s and constructed the three Fischer group

Fischer group

In mathematics, the Fischer groups are the three sporadic simple groups Fi22, Fi23,Fi24' introduced by .- 3-transposition groups :...

s, described the Baby Monster

Baby Monster group

In the mathematical field of group theory, the Baby Monster group B is a group of orderThe Baby Monster group is one of the sporadic groups, and has the second highest order of these, with the highest order being that of the Monster group...

 and computed its character table

Character table

In group theory, a character table is a two-dimensional table whose rows correspond to irreducible group representations, and whose columns correspond to classes of group elements...

, and predicted the existence of the monster group

Monster group

In the mathematical field of group theory, the Monster group M or F1 is a group of finite order:...

.

He did his PhD

Doctor of Philosophy

Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...

 in 1963 at the Johann Wolfgang Goethe University of Frankfurt am Main

Johann Wolfgang Goethe University of Frankfurt am Main

The Goethe University Frankfurt was founded in 1914 as a Citizens' University, which means that, while it was a State university of Prussia, it had been founded and financed by the wealthy and active liberal citizenry of Frankfurt am Main, a unique feature in German university history...

 under the direction of Reinhold Baer

Reinhold Baer

Reinhold Baer was a German mathematician, known for his work in algebra. He introduced injective modules in 1940. He is the eponym of Baer rings....

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