Philip Hall
FRS (11 April 1904 – 30 December 1982), was an English
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
. His major work was on
group theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups.
The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...
, notably on
finite group
Finite is the opposite of infinite. It may refer to:
* Finite number (disambiguation)
* Finite set, a set whose cardinality (number of elements) is some natural number
* Finite verb, a verb form that has a subject, usually being inflected or marked ...
s and
solvable groups.
Biography
He was educated first at
Christ's Hospital, where he won the Thompson Gold Medal for mathematics, and later at
King's College, Cambridge
King's College is a constituent college of the University of Cambridge. Formally The King's College of Our Lady and Saint Nicholas in Cambridge, the college lies beside the River Cam and faces out onto King's Parade in the centre of the city ...
. He was elected a
Fellow of the Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, incl ...
in 1951 and awarded its
Sylvester Medal in 1961. He was President of the
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical S ...
in 1955–1957, and awarded its
Berwick Prize The Berwick Prize and Senior Berwick Prize are two prizes of the London Mathematical Society awarded in alternating years in memory of William Edward Hodgson Berwick, a previous Vice-President of the LMS. Berwick left some money to be given to the ...
in 1958 and
De Morgan Medal in 1965.
Publications
*
*
*
See also
*
Abstract clone
*
Commutator collecting process In group theory, a branch of mathematics, the commutator collecting process is a method for writing an element of a group as a product of generators and their higher commutators arranged in a certain order. The commutator collecting process was int ...
*
Isoclinism of groups
*
Regular p-group
*
Three subgroups lemma
*
Hall algebra, and Hall polynomials
*
Hall subgroup
In mathematics, specifically group theory, a Hall subgroup of a finite group ''G'' is a subgroup whose order is coprime to its index. They were introduced by the group theorist .
Definitions
A Hall divisor (also called a unitary divisor) of a ...
*
Hall–Higman theorem In mathematics, mathematical group theory, the Hall–Higman theorem, due to , describes the possibilities for the minimal polynomial (linear algebra), minimal polynomial of an element of prime power order for a representation of a p-solvable gr ...
*
Hall–Littlewood polynomial
*
Hall's universal group
*
Hall's marriage theorem
*
Hall word
In mathematics, in the areas of group theory and combinatorics, Hall words provide a unique monoid factorisation of the free monoid. They are also totally ordered, and thus provide a total order on the monoid. This is analogous to the better-known ...
*
Hall–Witt identity
*
Irwin–Hall distribution
*
Zappa–Szép product
In mathematics, especially group theory, the Zappa–Szép product (also known as the Zappa–Rédei–Szép product, general product, knit product, exact factorization or bicrossed product) describes a way in which a group can be constructed fro ...
References
1904 births
1982 deaths
20th-century English mathematicians
Algebraists
Group theorists
People educated at Christ's Hospital
Alumni of King's College, Cambridge
Fellows of the Royal Society
Bletchley Park people
Presidents of the London Mathematical Society
Sadleirian Professors of Pure Mathematics
{{UK-mathematician-stub