Economical adjunction of square roots to groups

Details Economical adjunction of square roots to groups Economical adjunction of square roots to groups

2011-01-15

arxiv.org/abs/1101.3019v2

Mathematics

Group Theory

5 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm V2: mino

Scientific paper

How large must an overgroup of a given group be in order to contain a square
root of any element of the initial group? We give an almost exact answer to
this question (the obtained estimate is at most twice worse than the best
possible) and state several related open questions.

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