{"id":1,"date":"2026-07-20T11:32:23","date_gmt":"2026-07-20T11:32:23","guid":{"rendered":"http:\/\/mathrelated.co.uk\/?p=1"},"modified":"2026-08-28T19:10:31","modified_gmt":"2026-08-28T19:10:31","slug":"hello-world","status":"publish","type":"post","link":"https:\/\/mathrelated.co.uk\/index.php\/2026\/07\/20\/hello-world\/","title":{"rendered":"What’s in a name “The monty and pony papers”"},"content":{"rendered":"\n

Finding new Mathematical structures is not just fun, that knowledge needs to be shared.<\/p>\n\n\n\n

Something that has not been straightforward is the naming of groups.<\/p>\n\n\n\n

At least two of these groups have new structures that are not isomorphic to any existing cyclic group.<\/p>\n\n\n\n

They will eventually obtain a generally agreed name, however in the meantime the question of naming needed an answer<\/p>\n\n\n\n

Started out using just capital letter and then found that I had used up A, B, E, F, J, K, L, M, P<\/a>, R<\/a>, T<\/a>, U<\/a>, V<\/a>, W, X<\/a>, Y<\/a><\/p>\n\n\n\n

Some of those letters may already be used by convention for other things. What to do?<\/p>\n\n\n\n

First attempt at a unique naming scheme that was not single letters resulted in long names.<\/p>\n\n\n\n

Second attempt resulted in group names prefixed by 3 letters.<\/p>\n\n\n\n

In your own papers you are free to use whatever of those naming schemes are a best fit or perhaps just G and S or something in keeping with your other Abstract Algebra papers.<\/p>\n\n\n\n

In a table, those names look like the following:<\/p>\n\n\n\n

\"Naming<\/figure>\n\n\n\n

One of the things I tried to consider is the group name as part of an individual paper, or a group name as part of a wider context.<\/p>\n\n\n\n

Both have advantages.<\/p>\n\n\n\n

“The monty and pony papers” is just a light hearted concatenation of interim names for what was T and Y<\/p>\n\n\n\n

For an alternative to using [unique] names to groups you could use sturdy element notation as the following example illustrates.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

For referencing any of the group entries in Y<\/a> you simply need to add a t=number suffix to the notation below:<\/p>\n\n\n\n

\"Super
Super element notation for \u27e8\u27e81+2^t\u27e9\u27e9<\/figcaption><\/figure>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

[Alternative] group names to A,B,E,F,J,K,L,M,P,R,T,U,W,X,Y including a table of original to new<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12,5],"tags":[8],"class_list":["post-1","post","type-post","status-publish","format-standard","hentry","category-abstractalgebra","category-mathematics","tag-group"],"_links":{"self":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/1","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/comments?post=1"}],"version-history":[{"count":8,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/1\/revisions"}],"predecessor-version":[{"id":230,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/posts\/1\/revisions\/230"}],"wp:attachment":[{"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/media?parent=1"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/categories?post=1"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathrelated.co.uk\/index.php\/wp-json\/wp\/v2\/tags?post=1"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}