Involution fusion pattern
This article defines an equivalence relation over the collection of groups. View a complete list of equivalence relations on groups.
This term is related to: Classification of finite simple groups
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This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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Definition with symbols
Two groups and are said to have the same involution fusion pattern if there is an isomorphism from a 2-Sylow subgroup of to a 2-Sylow subgroup of such that are conjugate in if and only if are conjugate elements in .