Chapter 1 Group theory¶
University of Washington. Chapter 1 Group theory.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Imperfect Group
- The direct product A5 × C2 makes the difference concrete: the C2 image proves that the product is nonperfect, while projection onto perfect A5 disqualifies it as an imperfect group.
This sourceThe sign map, complete S5 normal-subgroup list and A5 simplicity are sourced there; S3 and direct-product consequences are elementary deductions, not claims attributed to Berrick and Robinson.
- The direct product A5 × C2 makes the difference concrete: the C2 image proves that the product is nonperfect, while projection onto perfect A5 disqualifies it as an imperfect group.
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. The single citation of this work carries no recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:4cb6c9738ab5 · see in the full table