GENERALIZED QUATERNIONS KEITH CONRAD 1. introduction The quaternion group Q8 is one of the two non-abelian groups of size 8 (up to isomorphism). The other one, D4 , can be constructed as a semi-direct product: D4 ∼

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QUALIFYING EXAMINATION Harvard University Department of Mathematics Tuesday 25 JanuaryDaya) Show that, up to isomorphism, there is a unique group of order 15.

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581 Documenta Math. Fundamental Group of Schurian Categories and the Hurewicz Isomorphism

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CANONICAL SUBGROUPS VIA BREUIL-KISIN MODULES SHIN HATTORI Abstract. Let p > 2 be a rational prime and K/Qp be an extension of complete discrete valuation fields. Let G be a truncated BarsottiTate group of level n, heigh

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Permutation groups and the graph isomorphism problem Sumanta Ghosh and Piyush P Kurur Department of Computer Science and Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

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• Graph theory
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1 On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation Akinari Hoshi and Katsuya Miyake Let k be a field and G a finite group. A k-generic polynomial for G covers all G-Galo

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arXiv:1211.5163v2 [math.PR] 10 JanMarkovian loop soups: permanental processes and isomorphism theorems P.J. Fitzsimmons

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ON LOWER RAMIFICATION SUBGROUPS AND CANONICAL SUBGROUPS SHIN HATTORI Abstract. Let p be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of

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Publ. RIMS, Kyoto Univ), 661–744 Absolute Anabelian Cuspidalizations of Configuration Spaces of Proper Hyperbolic Curves over Finite Fields

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• Algebra
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ERRATA FOR “CANONICAL SUBGROUPS VIA BREUIL-KISIN MODULES” SHIN HATTORI The proof of [1, Propositionis incorrect. In page 950 line 1–2, the author claims that the assertion (2) of the proposition is deduce

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• Algebra
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