Definition:Order of Structure/Notation
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Order of Structure: Notation
Other notations that can sometimes be seen for the order of an algebraic structure $S$ include:
- $\map \# S$
- $\operatorname {order} S$
Some sources use $\map o S$, but this has problems of ambiguity with other uses of $\map o n$: see little-o notation.
Sources
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text {IV}$: Rings and Fields: $25$. Cyclic Groups and Lagrange's Theorem
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $2$: Subgroups and Cosets: $\S 38$
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 5$: Groups $\text{I}$
- 1978: John S. Rose: A Course on Group Theory ... (previous) ... (next): $0$: Some Conventions and some Basic Facts