Nutley was at first, and for many years after its first settlement, a part of the original Dutch grant known as Newark. In 1812 the area was separated from Newark and made a part of Bloomfield. This arrangement continued until 1839, when the eastern section of Bloomfield was separated and became Belleville Township. At this time the Nutley section was called North Belleville. In 1874 Belleville became a town, and this section became Franklin Township. In the township three areas had local names, i.e., Avondale, Nutley Center, and Spring Garden. Finally in 1902, Franklin Township became the Town of Nutley.

This was a two-story frame building on Church Street facing east, and hence was known as the 'Church Street School,' with a separate entrance for boys and girls. The Church Street School burned in 1874 - the year that Nutley separated from Belleville and became the Township of Franklin - and in 1875 a two-story brick building was erected and used until the Park School was built in 1894.

... to promote the public welfare by exercising an influence in behalf of humanity and civilisation.

If $p^{a}$ is the highest power of a prime p which divides the order of a group G, the subgroups of G of order $p^{a}$ form a single conjugate set and their number is congruent to unity, mod p.

The above well-known theorem, which was first established by Sylow, suggests the segregation of numbers into two distinct classes: the class to contain all numbers which have factors o the form p(kp + 1) which p may be any prime except unity and k may have any integral value greater than zero; the other class to contain all remaining numbers. Numbers in the second class will be found to have certain properties analogous to the properties of primes and will be denoted by P, the numbers in the first class will be found to have certain properties analogous to the properties of composite numbers and will be denoted by C. If a C should be of the form p(kp + 1), and not merely a multiple of a number of that form, we will call it a "fundamental" C. Certain Cs are fundamental for certain p's and not for others; e.g.

$12 = 2(2(1 \times 2 + 1)) = 3(1 \times 3 + 1)$,

and 12 is therefore fundamental for p=3, but not for p=2; whether a given C is to be considered a fundamental C or not will be made clear by the context. Two fundamental C's will be called "different" if the values of the p's and k's respectively are not both the same in the two C's. The present investigation is intended to develop some of the more fundamental properties of the P's and C's and to establish certain formulae for the number of P's within a given limit.

I wish to express my appreciation for the kindly interest of all my instructors. My thanks are especially due to the members of my Committee, Professors Lehmer, Haskell, and Schilling; and more especially to Professor Lehmer, whose encouragement and sympathetic advice have been a constant source of help in preparing my dissertation.

February 1908: Stager, Henry Walter, M.A.; Assistant in Mathematics, University of California, Berkeley, California. 1700 Ward Street.

The marriage of Miss Helen Stager and Dana Poulsen of Santa Rosa was solemnised Thursday at high noon at the home of the bride's parents, Mr and Mrs H W Stager. Rev H K Hamilton of the First Methodist church officiated. The couple will reside in Santa Rosa, where Mr Poulsen is in business. He was formerly in charge of the company's store in this city.

... because of having to mass lower division students at the University of California in very large classes, it is impossible to give them anything like the opportunities they need. The instructors and the equipment are overtaxed. It was asserted expressly that Fresno students had a better chance and could do better college Freshman and Sophomore work in their "junior college" than at the university. Here at home, in their small classes they could get closer to, and keep closer to, their studies and their instructors.

The author is to be congratulated upon the completion of so important and formidable a piece of work. While the reviewer has, of course, not checked over any part of the table he has the utmost confidence in the accuracy of the list. The printing has been done by the photographic methods employed by the Carnegie Institution in the publication of the Factor Tables and the List of Primes. Both the author and the publishers deserve the gratitude of every lover of science in putting in the hands of mathematicians results of such permanent value.

It is obvious that, apart from its special purpose, this table will be very useful to arithmeticians ...

Professor H W Stager, of Fresno Junior College, has been appointed instructor in mathematics at the University of Washington.

... for which the committee deserves commendations as well as honourable mention.