astronomy

Stephen Arthur Jennings

Stephen Arthur Jennings is a astronomy 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 Stephen Arthur Jennings rather than just read about it. In short: Stephen Arthur Jennings (May 11, 1915 – February 2, 1979) was a mathematician who made contributions to the study of modular representation theory (Jennings 1941). His advisor was Richard Brauer, and his student Rimhak Ree discovered two infinite series of finite simple groups known as the Ree groups.

Key takeaways

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

Reference excerpt

Stephen Arthur Jennings (May 11, 1915 – February 2, 1979) was a mathematician who made contributions to the study of modular representation theory (Jennings 1941). His advisor was Richard Brauer, and his student Rimhak Ree discovered two infinite series of finite simple groups known as the Ree groups. Jennings was an editor of Mathematics Magazine and an acting president of the University of Victoria.

Biography Jennings was born in Walthamstow, England, and immigrated to Canada with his family in 1928. He had been receiving scholarships in England and these were transferred to Canada. He finished his high school education in Toronto and in September 1932 he went to University College in Toronto. In 1939 he received his PHD from the University of Toronto. He married Dorothy Freeda Rintoul in 1939. On November 14, 1942, he became a Member of the Zeta Psi fraternity. When he was made a professor, he was the youngest professor ever appointed in Canada. In 1944 Stephen was appointed 2nd Lieutenant (Paymaster) in Canadian Army. While in Vancouver, teaching at the University of British Columbia, Stephen and Dorothy had two children, Judith and James. Jennings was Dean of Graduate Studies at the University of Victoria and the Head of the Mathematics Department there.

Selected bibliography An Introduction to Calculus. S.A. Jennings. Department of Education, Victoria, B.C. 1966 Chang, Bomshik; Jennings, S. A.; Ree, Rimhak (1958), "On certain pairs of matrices which generate free groups", Canadian Journal of Mathematics, 10: 279–284, doi:10.4153/CJM-1958-029-2, ISSN 0008-414X, MR 0094388 Jennings, S. A.; Ree, Rimhak (1957), "On a family of Lie algebras of characteristic p", Transactions of the American Mathematical Society, 84 (1), American Mathematical Society: 192–207, doi:10.2307/1992897, JSTOR 1992897, MR 0082633 Jennings, S. A. (1955), "Radical rings with nilpotent associated groups", Trans. Roy. Soc. Canada. Sect. III. (3), 49: 31–38, MR 0073578 Jennings, S. A. (1955), "The group ring of a class of infinite nilpotent groups", Canadian Journal of Mathematics, 7: 169–187, doi:10.4153/CJM-1955-022-5, ISSN 0008-414X, MR 0068540 Jennings, S. A. (1954), "Substitution groups of formal power series", Canadian Journal of Mathematics, 6: 325–340, doi:10.4153/CJM-1954-031-9, ISSN 0008-414X, MR 0061610 Jennings, S. A. (1947), "On rings whose associated Lie rings are nilpotent", Bulletin of the American Mathematical Society, 53 (6): 593–597, doi:10.1090/S0002-9904-1947-08844-3, MR 0020984 Jennings, S. A. (1944), "A note on chain conditions in nilpotent rings and groups", Bulletin of the American Mathematical Society, 50 (10): 659–763, doi:10.1090/S0002-9904-1944-08234-7, MR 0011075 Jennings, S. A. (1942), "Central chains of ideals in an associative ring", Duke Mathematical Journal, 9 (2): 341–355, doi:10.1215/S0012-7094-42-00924-4, MR 0006995 Jennings, S. A. (1941), "The structure of the group ring of a p-group over a modular field", Transactions of the American Mathematical Society, 50 (1), American Mathematical Society: 175–185, doi:10.2307/1989916, JSTOR 1989916, MR 0004626

External links Stephen Arthur Jennings at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Stephen Arthur Jennings

Start with the simplest possible case. Write down what Stephen Arthur Jennings claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Stephen Arthur Jennings 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 Stephen Arthur Jennings 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 Stephen Arthur Jennings

In research: Stephen Arthur Jennings appears in astronomy 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 Stephen Arthur Jennings 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: Stephen Arthur Jennings is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1915 births, 1979 deaths, 20th-century Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Stephen Arthur Jennings 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 Stephen Arthur Jennings in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Stephen Arthur Jennings 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 Stephen Arthur Jennings out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Stephen Arthur Jennings in simple terms?

Why does Stephen Arthur Jennings matter?

Because it connects several astronomy 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 Stephen Arthur Jennings?

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 Stephen Arthur Jennings.