A little question on history of the notation for abstract groups [on hold]
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I would love it if you could help me with the following question.
It concerns the historical notation used in the study of abstract groups. Kronecker, in his 1870 paper uses the Greek letter theta (with superindices) for it. In modern versions of it, I have always seen a Greek letter Phi (in italics). Why the change? Any idea when the notational change took place, which author was the first to use phi instead of theta?? I know it many seem a trivial question, but it has some historical relevance for me.
Best regards in advance.
group-theory notation abelian-groups math-history
put on hold as off-topic by TheGeekGreek, Shaun, Alan Wang, Dietrich Burde, Lord Shark the Unknown 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheGeekGreek, Alan Wang, Dietrich Burde
 |Â
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up vote
-2
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favorite
I would love it if you could help me with the following question.
It concerns the historical notation used in the study of abstract groups. Kronecker, in his 1870 paper uses the Greek letter theta (with superindices) for it. In modern versions of it, I have always seen a Greek letter Phi (in italics). Why the change? Any idea when the notational change took place, which author was the first to use phi instead of theta?? I know it many seem a trivial question, but it has some historical relevance for me.
Best regards in advance.
group-theory notation abelian-groups math-history
put on hold as off-topic by TheGeekGreek, Shaun, Alan Wang, Dietrich Burde, Lord Shark the Unknown 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheGeekGreek, Alan Wang, Dietrich Burde
3
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
1
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
1
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago
 |Â
show 5 more comments
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
I would love it if you could help me with the following question.
It concerns the historical notation used in the study of abstract groups. Kronecker, in his 1870 paper uses the Greek letter theta (with superindices) for it. In modern versions of it, I have always seen a Greek letter Phi (in italics). Why the change? Any idea when the notational change took place, which author was the first to use phi instead of theta?? I know it many seem a trivial question, but it has some historical relevance for me.
Best regards in advance.
group-theory notation abelian-groups math-history
I would love it if you could help me with the following question.
It concerns the historical notation used in the study of abstract groups. Kronecker, in his 1870 paper uses the Greek letter theta (with superindices) for it. In modern versions of it, I have always seen a Greek letter Phi (in italics). Why the change? Any idea when the notational change took place, which author was the first to use phi instead of theta?? I know it many seem a trivial question, but it has some historical relevance for me.
Best regards in advance.
group-theory notation abelian-groups math-history
asked 2 days ago


Javier Arias
878516
878516
put on hold as off-topic by TheGeekGreek, Shaun, Alan Wang, Dietrich Burde, Lord Shark the Unknown 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheGeekGreek, Alan Wang, Dietrich Burde
put on hold as off-topic by TheGeekGreek, Shaun, Alan Wang, Dietrich Burde, Lord Shark the Unknown 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – TheGeekGreek, Alan Wang, Dietrich Burde
3
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
1
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
1
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago
 |Â
show 5 more comments
3
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
1
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
1
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago
3
3
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
1
1
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
1
1
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago
 |Â
show 5 more comments
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3
I like using $G$ myself.
– Lord Shark the Unknown
2 days ago
For instance, Wussing in his book uses phi, while this guy, several decades later, uses theta: www-history.mcs.st-and.ac.uk/HistTopics/Abstract_groups.html
– Javier Arias
2 days ago
1
It looks there that Cayley used both $theta$ and $phi$, but as generic elements of a group rather than as names of groups.
– Lord Shark the Unknown
2 days ago
well..then my questions refers to the notation for the elements of a group.....sorry for the confusion....
– Javier Arias
2 days ago
1
Am I right claiming that nowadays phi is the standard notation for the elements of a group? Where did it become standard?
– Javier Arias
2 days ago