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 ∼

Source URL: www.math.uconn.edu

Elements and cyclic subgroups of finite order of the Cremona group J´er´emy Blanc April 12, 2009 Abstract We give the classification of elements – respectively cyclic subgroups –

Source URL: jones.math.unibas.ch

• Algebra
• Mathematics
• Abstract algebra
• Group theory
• Finite groups
• Projective geometry
• Conjugacy class
• Lie groups
• Covering space
• Elliptic curve
• Direct product of groups
• Sylow theorems

Representing groups on graphs Sagarmoy Dutta and Piyush P Kurur Department of Computer Science and Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India {sagarmoy,ppk}@cse.iitk.ac.in

Source URL: www.cse.iitk.ac.in

• Group theory
• Morphisms
• Symmetry
• Graph isomorphism problem
• Representation theory
• Solvable group
• Graph isomorphism
• Commutator subgroup
• Symmetric group
• Group action
• Direct product of groups
• Automorphism

REDUCED FUSION SYSTEMS OVER p-GROUPS WITH ABELIAN SUBGROUP OF INDEX p: II DAVID A. CRAVEN, BOB OLIVER, AND JASON SEMERARO Abstract. Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup

Source URL: www.math.univ-paris13.fr

• Group theory
• Sylow theorems
• Abelian group
• P-group
• Index of a subgroup
• XTR
• Subgroup
• Center
• Direct product of groups
• Quotient group
• Focal subgroup theorem
• FeitThompson theorem

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Source URL: www.kurims.kyoto-u.ac.jp

• Group theory
• Torsion
• Abelian group
• Homomorphism
• Quotient group
• Group action
• Direct product of groups
• Subgroup
• Commutator subgroup
• Symmetric cone

MATH 120 PRACTICE FINAL EXAM There are 10 problems, on two pages. Each problem is worth 6 points. The problems are of widely varying difficulty, and the exam is intended to be challenging (some of the problems very much

Source URL: math.stanford.edu

• Conjugacy class
• Normal subgroup
• Abelian group
• Index of a subgroup
• Simple group
• Group
• Direct product of groups
• Center
• Order
• Abstract algebra
• Algebra
• Group theory

NORMAL AUTOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS A. MINASYAN AND D. OSIN Dedicated to Professor A.L. Shmelkin on the occasion of his 70th birthday. Abstract. An automorphism α of a group G is normal if it fixes ever

Source URL: www.personal.soton.ac.uk

• Geometric group theory
• Relatively hyperbolic group
• Residually finite group
• Hyperbolic group
• Direct product of groups
• Inner automorphism
• Normal subgroup
• Solvable group
• Center
• Abstract algebra
• Group theory
• Algebra

ON CONJUGACY SEPARABILITY OF SOME COXETER GROUPS AND PARABOLIC-PRESERVING AUTOMORPHISMS PIERRE-EMMANUEL CAPRACE AND ASHOT MINASYAN Abstract. We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2)

Source URL: www.personal.soton.ac.uk

• Coxeter group
• Conjugacy class
• Direct product of groups
• Artin group
• Normal subgroup
• Residually finite group
• Borel subgroup
• Group action
• Deligne–Lusztig theory
• Abstract algebra
• Algebra
• Group theory

Theory and Applications of Categories, Vol. 29, No. 8, 2014, pp. 215–255. TWISTED ACTIONS OF CATEGORICAL GROUPS SAIKAT CHATTERJEE, AMITABHA LAHIRI, AND AMBAR N. SENGUPTA Abstract. We develop a theory of twisted action

Source URL: www.emis.de

• Group actions
• Morphisms
• Category
• Functor
• Natural transformation
• Direct product
• Group homomorphism
• Representation theory of finite groups
• Abstract algebra
• Algebra
• Group theory

Totally Disconnected L.C. Groups: Subgroups associated with an automorphism George Willis The University of Newcastle February 10th − 14th 2014

Source URL: www.fields.utoronto.ca

• Direct product of groups
• Normal subgroup
• Representation theory
• Group action
• Subgroup
• Zappa–Szép product
• Conjugate element
• Abstract algebra
• Algebra
• Group theory