We investigate the irreducible cuspidal $C$-representations of a reductive $p$-adic group $G$ over field $C$ characteristic different from $p$. When is algebraically closed, for many groups $G$, list $C$-types $(J,\lambda)$ has been produced satisfying exhaustion, sometimes restricted kind representations, and often unicity. verify that those lists Aut($C$)-stability we produce similar when no ...

This paper, deals with some equivalence relations in fuzzy subgroups. Further the probability of commuting two fuzzy subgroups of some finite abelian groups is defined.

This review is intended to provide the reader who is interested in the historical development of the recent research on photoremovable protecting groups, phototriggers, and “caged” compounds and to provide some insight into the genesis of our entry into the field through our most recent discoveries. Several other investigations have paralleled our development of a photoremovable protecting grou...

Let p be an odd prime and S a finite p-group. B. Oliver’s conjecture arises from an open problem in the theory of p-local finite groups. It is the claim that a certain characteristic subgroup X(S) of S always contains the Thompson subgroup. In previous work the first two authors and M. Lilienthal recast Oliver’s conjecture as a statement about the representation theory of the factor group S/X(S...