The first version of these notes was written for a first-year graduate algebra course. As in
most such courses, the notes concentrated on abstract groups and, in particular, on finite …

A First Course in Computational Algebraic Geometry is designed for young students with
some background in algebra who wish to perform their first experiments in computational …

For each prime p, we will describe all groups of order p3 up to isomorphism. This was done
for p= 2 by Cayley [3, 4] in 1859 and 1889 and Kempe [8, pp. 38–39, 45] in 1886, and for …

The classification of surfaces with pg = q = 1 isogenous to a product of curves Page 1 Adv.
Geom. 9 (2009), 233–256 Advances in Geometry DOI 10.1515 / ADVGEOM.2009.015 c de …

A smooth algebraic surface S is said to be isogenous to a product of unmixed type if there
exist two smooth curves C, F and a finite group G, acting faithfully on both C and F and freely …

This book is based on a four-week class that we have taught many times at the Stanford
University Mathematics Camp (SUMaC). Students attending this camp have just finished …

Full article: Finite groups with a prescribed number of cyclic subgroups Skip to Main Content
Taylor and Francis Online homepage Taylor and Francis Online homepage Log in | Register …

This paper proves the local Langlands conjecture for the non-quasi-split inner form of over a-
adic field of characteristic 0, by studying the restriction of representations from the non-quasi …

The first version of these notes was written for a first-year graduate algebra course. As in
most such courses, the notes concentrated on abstract groups and, in particular, on finite …

Two players alternate moves in the following impartial combinatorial game: Given a finitely
generated abelian group A, a move consists of picking some 0 ≠ a ∈ A 0≠ a∈ A. The …