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Tour:Getting started (beginners)

364 bytes added, 17:11, 25 August 2011
Part four
Guided tours are intended to be an online equivalent of textbooks, with a lot more flexibility. You read through a collection of pages, adapted from the wiki to be used as learning resources, and are then presented with a set of exercises and review tools.
So far, only one guided tour has been in preparation -- the guided tour for beginners. This was initially developed in 2008, but was not completed as the focus shifted to first improving the overall quality of the site. The portion of the tour created so far covers basic definitions of groups, subgroups, cosets, and Lagrange's theorem, along with a number of exercises.
{{quotation|'''There is a lot more material on the website than what is covered in the guided tour.''' If you are interested in reading up material on the website that may be relevant for beginners, try using the search bar, and also look within these categories: [[:Category:Basic definitions in group theory]], [[:Category:Basic facts in group theory]], [[:Category:Elementary non-basic facts in group theory]].<br>Based on user experience, the following topics, which will ''eventually'' be part of the guided tour, but are not yet included in it, are very popular among people who are doing/have just completed an introductory course in group theory: [[symmetric group:S3]] (also, its [[element structure of symmetric group:S3|elements]], [[subgroup structure of symmetric group:S3|subgroups]], and [[linear representation theory of symmetric group:S3|representations]]), [[symmetric group:S4]] (also, its [[element structure of symmetric group:S4|elements]], [[subgroup structure of symmetric group:S4|subgroups]], and [[linear representation theory of symmetric group:S4|representations]]), and [[dihedral group:D8]] (also, its [[element structure of dihedral group:D8|elements]], [[subgroup structure of dihedral group:D8|subgroups]], and [[linear representation theory of dihedral group:D8|representations]]).}}
{{quotation|[[Tour:Introduction one (beginners)|Get started]]}}
We are about to get started on the guided tour for beginners. To get the most from this guided tour, stay faithful to it, i.e. read the articles in the order suggested. You will have various opportunities for detours: some other articles to read so as to get a better understanding of what you're touring, and some just for entertainment. Please try to open these ''detours'' in different windows/tabs so that you do not lose track of where you are in the main tour.
This tour is not intended to be a complete introduction to group theory, or a replacement for textbook or course materials. Rather, it is intended as a supplement. To get the most from this tour, keep open your main course book or lecture notes and make sure you can ''map'' what's there on the wiki, with what you're learning in the course or from the textbook.
Before starting, you should read the [[Tour:General instructions (beginners)|general instructions]]. You may also find it useful to read the [[Tour:Pedagogical notes (beginners)|pedagogical notes]] that explain the structure of the tour in more detail.
The tour is structured as follows.
==Part four==
''Not yet prepared'' * [[Guided tour for beginners:Homomorphism of groups|Homomorphism of groups]]* [[Guided tour for beginners:Isomorphism of groups|Isomorphism of groups]]* [[Guided tour for beginners:Isomorphic groups|Isomorphic groups]]* [[Guided tour for beginners:Endomorphism of a group|Endomorphism of a group]]* [[Guided tour for beginners:Automorphism of a group|Automorphism of a group]]* [[Guided tour for beginners:Automorphism group|Automorphism group]]* [[Guided tour for beginners:Inner automorphism|Inner automorphism]]* [[Guided tour for beginners:Kernel|Kernel]]* [[Guided tour for beginners:Normal subgroup|Normal subgroup]]* [[Guided tour for beginners:Quotient group|Quotient group]]* [[Guided tour for beginners:First isomorphism theorem|First isomorphism theorem]]* [[Guided tour for beginners:Second isomorphism theorem|Second isomorphism theorem]]* [[Guided tour for beginners:Third isomorphism theorem{{quotation|Third isomorphism theorem]] ==Part five==''Not yet prepared''* Get started with [[Guided tour for beginnersTour:Characteristic subgroup|Characteristic subgroup]]* [[Guided tour for Introduction four (beginners:Characteristic implies normal|Characteristic implies normal)]]}}* [[Guided tour for beginners{{#lst:External direct product|External direct product]]* [[Guided tour for beginnersTour:Internal direct product|Internal direct product]]* [[Guided tour for Introduction four (beginners:Group property)|Group property]]pagelist}}* [[Guided tour for beginners{{#lst:Subgroup property|Subgroup property]]* [[Guided tour for beginnersTour:Subgroup-defining function|Subgroup-defining function]]* [[Guided tour for Introduction four (beginners:Center)|Center]]prerequisite}}* [[Guided tour for beginners{{#lst:Characteristic of normal implies normal|Characteristic of normal implies normal]]* [[Guided tour for beginnersTour:Commutator subgroup|Commutator subgroup]]* [[Guided tour for Introduction four (beginners:Normality is strongly intersection-closed)|Normality is strongly intersection-closed]]* [[Guided tour for beginners:Normality is strongly join-closed|Normality is strongly join-closed]]* [[Guided tour for beginners:Invariance property|Invariance property]]goal}}
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