mathematics

Roger Carter (mathematician)

Roger Carter (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Roger Carter (mathematician) rather than just read about it. In short: Roger William Carter (25 August 1934 – 21 February 2022) was a British mathematician who was emeritus professor at the University of Warwick. He defined Carter subgroups and wrote the standard reference Simple Groups of Lie Type.

Key takeaways

Roger Carter (mathematician) belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Roger Carter (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Roger Carter (mathematician) from memory before moving on to harder problems.

Reference excerpt

Roger William Carter (25 August 1934 – 21 February 2022) was a British mathematician who was emeritus professor at the University of Warwick. He defined Carter subgroups and wrote the standard reference Simple Groups of Lie Type. He obtained his PhD at the University of Cambridge in 1960 and his dissertation was entitled Some Contributions to the Theory of Finite Soluble Groups, with Derek Taunt as thesis advisor. Carter died in Wirral on 21 February 2022, at the age of 87.

Publications Carter, Roger W. (1961). "Nilpotent self normalizing subgroups of soluble groups". Mathematische Zeitschrift. 75 (2): 136–139. doi:10.1007/BF01211016. S2CID 120448397. Simple Groups of Lie Type by Roger W. Carter, ISBN 0-471-50683-4 Lie Algebras of Finite and Affine Type (Cambridge Studies in Advanced Mathematics) by Roger Carter, ISBN 0-521-85138-6 Carter, Roger W. (1993), Finite Groups of Lie Type: Conjugacy Classes and Complex Characters, Wiley Classics Library, Chichester: Wiley, ISBN 978-0-471-94109-5

References

Roger W. Carter at the Mathematics Genealogy Project Roger Carter Obituary

Worked examples

Example 1 — a first encounter with Roger Carter (mathematician)

Start with the simplest possible case. Write down what Roger Carter (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Roger Carter (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Roger Carter (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Roger Carter (mathematician)

In research: Roger Carter (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Roger Carter (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Roger Carter (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1934 births, 2022 deaths, Alumni of the University of Cambridge, so understanding it makes those chapters shorter.
In everyday life: Look for Roger Carter (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Roger Carter (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Roger Carter (mathematician) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Roger Carter (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Roger Carter (mathematician) in simple terms?

Why does Roger Carter (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Roger Carter (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Roger Carter (mathematician).