Tags » Group Theory

Some SQ-universal groups

A group is said SQ-universal whenever every countable group can be embedded into a quotient of . In some sense, SQ-universality is a “largeness property”. Motivating by this idea, we prove the two following properties: 689 more words

Free Groups

The Klein 4-Group

What is the common factor linking book-flips, solitaire, twelve-tone music and the solution of quartic equations?   Answer: .

Symmetries of a Book — or a Brick 683 more words

Occasional

otro lema estratégico

La siguiente lámina establece un lema vital para una demostración “más contemporánea” del Teorema de Sylow 1.

Algebra

A theorem of Schur on commutator subgroup

The aim of this note is to prove the following theorem, due to Schur, and to exhibit some corollaries. The proof given here comes from J. 763 more words

Group Theory