Hyun Jong Kim Mentor : Atticus Christensen
نویسنده
چکیده
Subgroups H1 and H2 of a group G are said to be locally conjugate if there is a bijection f : H1 → H2 such that h and f(h) are conjugate in G. We study local conjugacy among subgroups of GL2(Z/pZ), where p is an odd prime, building on Andrew Sutherland’s categorizations of subgroups of GL2(Z/pZ) and local conjugacy among them. We obtain a classification of locally conjugate subgroups of GL2(Z/pZ) in the kernel of the natural map φ : GL2(Z/pZ) → GL2(Z/pZ). We further inspect local conjugacy among subgroups of GL2(Z/pZ) using this classification.
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[This corrects the article on p. 433 in vol. 60, PMID: 28989919.].
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