Displaying 81 – 100 of 513

Showing per page

Crossed product of cyclic groups

Ana-Loredana Agore, Dragoş Frățilă (2010)

Czechoslovak Mathematical Journal

All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.

Divisibility in certain automorphism groups

Ramiro H. Lafuente-Rodríguez (2007)

Czechoslovak Mathematical Journal

We study solvability of equations of the form x n = g in the groups of order automorphisms of archimedean-complete totally ordered groups of rank 2. We determine exactly which automorphisms of the unique abelian such group have square roots, and we describe all automorphisms of the general ones.

Do finite Bruck loops behave like groups?

B. Baumeister (2012)

Commentationes Mathematicae Universitatis Carolinae

This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.

Currently displaying 81 – 100 of 513