Automorphism groups of finite groupoids

作者：Hobby David^*; Silberger Donald; Silberger Sylvia

来源：Algebra Universalis, 2010, 64(1-2): 117-136.

DOI：10.1007/s00012-010-0093-0

• groupoids
• automorphism groups

Given a finite set M of size n and a subgroup G of Sym(M), G is pertinent iff it is the automorphism group of some groupoid aOE (c) M; *>. We examine when subgroups of Sym(M) are and are not pertinent. For instance, A (n) , the alternating group on M, is not pertinent for n > 4. We close by indicating a natural extension of our ideas, which relates to a question of M. Gould.

• 出版日期2010-10