Finite soluble groups
by Doerk, Klaus, Hawkes, Trevor O.
fromDe Gruyter expositions in mathematics
Finite soluble groups
by Doerk, Klaus, Hawkes, Trevor O.
fromDe Gruyter expositions in mathematics
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibra…
The object of the memoir is to determine all finite simple (and more generally fusion-simple) groups each of whose 2-subgroups can be generated by at most 4 elements. Using a result of MacWilliams, we obtain as a corollary the classifications of all finite simple groups whose Sy…
This paper presents a systematic study of the relationships between the representation theories of [italic capital]R and [italic capital]A, especially those involving actual or potential quasi-hereditary structures on the latter algebra. Our original motivation comes from the th…
This work presents foundational research on two approaches to studying subgroup lattices of finite abelian [italic]p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation o…
This work presents foundational research on two approaches to studying subgroup lattices of finite abelian [italic]p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation o…
The study of finite rational matrix groups reduces to the investigation of the maximal finite irreducible matrix groups and their natural lattices, which often turn out to have rather beautiful geometric and arithmetic properties. This book presents a full classification in dime…
This book presents a classification of all (complex) irreducible representations of a reductive group with connected center, over a finite field. To achieve this, the author uses étale intersection cohomology, and detailed information on representations of Weyl groups.
This book presents a classification of all (complex) irreducible representations of a reductive group with connected center, over a finite field. To achieve this, the author uses étale intersection cohomology, and detailed information on representations of Weyl groups.
Research text on algebra/representation theory.
"In the 1940s, Paul A. Smith asked whether or not the fixed point set of a periodic, orientation preserving homeomorphism of S³ to itself was always an unknotted circle. In the fall of 1978 this question was answered in the affirmative for diffeomorphisms. The proof rests on the…
Collected papers
by Fong, Paul, Wong, Warren J., Brauer, Richard
fromMathematicians of our time
Collected papers
by Brauer, Richard, Fong, Paul, Wong, Warren J.
fromMathematicians of our time