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Questions about the branch of algebra that deals with groups.

2 votes
1 answer
275 views

What is the minimal girth of a cayley graph for Alt(n) in which the girth relator is not a p...

First, a definition: a girth relator for a Cayley graph is a word that you get by reading the edge labels along a shortest loop. The girth relator is not usually unique, though it is often unique up t …
moshe newman's user avatar
5 votes
0 answers
165 views

What are the possible finite non-solvable quotients of one relator groups?

Is there a one-relator group with some finite non-solvable quotient, that does not have all large alternating groups as finite quotients?
moshe newman's user avatar