Major F. G. Jackson

f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations of $MV$-algebras.Also, we investigate some properties of them.

(f) pinch (g)

F P M G

In group theory, it is a fundamental question to determine what information about a group is necessary and sufficient tomake a group finitely presented. In this paper, we develop the theory of Σ-invariants due to Robert Bieri and Ralph Strebel [Bieri] whi provides an answer to this question for the class of metabelian groups. We begin our study of Σ-invariants with a digression on group extens...

Major F. W. Cragg

It is with the deepest regret that we learn of the tragic death of Major F. W. Cragg, i.m.s., from typhus fever at Lahore on the 23rd of April, 1924. Major Cragg's death adds another name to the long but brilliant list of scientific investigators who have lost their lives in the prosecution of medical enquiries for the benefit of humanity. He died as truly on active service as did any officer k...

SPHERICAL FUNCTIONS OF THE SYMMETRIC SPACE G ( F q 2 ) / G ( F q )

We apply Lusztig’s theory of character sheaves to the problem of calculating the spherical functions of G(Fq2 )/G(Fq), where G is a connected reductive algebraic group. We obtain the solution for generic spherical functions for any G, and for all spherical functions when G = GLn. The proof includes a result about convolution of character sheaves and its interaction with the associated two-sided...