Uniformly Recurrent Subgroups of Inductive Limits of Finite Alternating Groups

Invariant Random Subgroups of Inductive Limits of Finite Alternating Groups

We classify the ergodic invariant random subgroups of inductive limits of finite alternating groups.

Characters of Inductive Limits of Finite Alternating Groups

If G Alt(N) is an inductive limit of finite alternating groups, then the indecomposable characters of G are precisely the associated characters of the ergodic invariant random subgroups of G.

Uniformly Recurrent Subgroups of Simple Locally Finite Groups

We study the uniformly recurrent subgroups of simple locally finite groups.

Finite Groups with p-Sylow Coverings

Fuzzy Subgroups of Rank Two Abelian p-Group

In this paper we enumerate fuzzy subgroups, up to a natural equivalence, of some finite abelian p-groups of rank two where p is any prime number. After obtaining the number of maximal chains of subgroups, we count fuzzy subgroups using inductive arguments. The number of such fuzzy subgroups forms a polynomial in p with pleasing combinatorial coefficients. By exploiting the order, we label the s...