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Questions about the branch of algebra that deals with groups.

13 votes
0 answers
277 views

Nonabelian versions of "Eudoxus reals" construction

The Eudoxus reals is a "non-conventional" construction of reals, that bypasses any construction of the rationals, instead progressing directly from $\mathbb{Z}$ to $\mathbb{R}$ (or in some versions, f …
Alex Meiburg's user avatar
  • 1,203
2 votes
1 answer
239 views

Products of groups with three generators

In this question it mentions how Jesse Douglas used a Zappa-Szep product to classify some finite groups with two generators, and others did the same thing with infinite cyclic groups. I've been playin …
Alex Meiburg's user avatar
  • 1,203
2 votes
0 answers
132 views

Group on 2 generators and greedy relations that preserve exponential growth

I'm not sure if there's a specific question here, other than perhaps "is this object studided" / "is there a better way of looking at it"; if it's too vague for this forum I apologize. First take the …
Alex Meiburg's user avatar
  • 1,203