Enumeration of Finite Groups

Simon R. Blackburn; Peter M. Neumann; Geetha Venkataraman

doi:10.1017/CBO9780511542756

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Conway, John H. Dietrich, Heiko and O’Brien, Eamonn A. 2008. Counting Groups: Gnus, Moas, and other Exotica. The Mathematical Intelligencer, Vol. 30, Issue. 2, p. 6.

CrossRef

Google Scholar

MAY, COY L. and ZIMMERMAN, JAY 2010. THE 2-GROUPS OF ODD STRONG SYMMETRIC GENUS. Journal of Algebra and Its Applications, Vol. 09, Issue. 03, p. 465.

CrossRef

Google Scholar

HADAD, UZY 2010. KAZHDAN CONSTANTS OF GROUP EXTENSIONS. International Journal of Algebra and Computation, Vol. 20, Issue. 05, p. 671.

CrossRef

Google Scholar

May, Coy L. and Zimmerman, Jay 2011. THE REAL GENUS OF 2-GROUPS II. Mathematical Proceedings of the Royal Irish Academy, Vol. 110, Issue. -1, p. 137.

CrossRef

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Stones, Douglas S. and Wanless, Ian M. 2012. A Congruence Connecting Latin Rectangles and Partial Orthomorphisms. Annals of Combinatorics, Vol. 16, Issue. 2, p. 349.

CrossRef

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Vaughan-Lee, Michael 2012. Graham Higman’s PORC Conjecture. Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 114, Issue. 2, p. 89.

CrossRef

Google Scholar

Browning, Joshua Stones, Douglas S. and Wanless, Ian M. 2013. Bounds on the number of autotopisms and subsquares of a Latin square. Combinatorica, Vol. 33, Issue. 1, p. 11.

CrossRef

Google Scholar

May, Coy L. and Zimmerman, Jay 2013. The Real Genus of <i>p</i>-Groups. Mathematical Proceedings of the Royal Irish Academy, Vol. 113, Issue. 1, p. 31.

CrossRef

Google Scholar

MAY, COY L. and ZIMMERMAN, JAY 2013. THE SYMMETRIC GENUS OF 2-GROUPS. Glasgow Mathematical Journal, Vol. 55, Issue. 1, p. 9.

CrossRef

Google Scholar

May, Coy L. and Zimmerman, Jay 2014. The Symmetric Genus of p-Groups. Communications in Algebra, Vol. 42, Issue. 10, p. 4402.

CrossRef

Google Scholar

Lipyanski, Ruvim and Vanetik, Natalia 2015. On Borel complexity of the isomorphism problems for graph related classes of Lie algebras and finite p-groups. Journal of Algebra and Its Applications, Vol. 14, Issue. 05, p. 1550078.

CrossRef

Google Scholar

Łuczak, Tomasz 2015. Surveys in Combinatorics 2015. p. 175.

CrossRef

Google Scholar

Soffer, Andrew 2016. Upper bounds on the number of conjugacy classes in unitriangular groups. Journal of Group Theory, Vol. 19, Issue. 6, p. 1063.

CrossRef

Google Scholar

Li, Yinan and Qiao, Youming 2017. Linear Algebraic Analogues of the Graph Isomorphism Problem and the Erdős-Rényi Model. p. 463.

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Eick, Bettina Horn, Max and Hulpke, Alexander 2017. Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory. p. 199.

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Nies, André and Tent, Katrin 2017. Describing finite groups by short first-order sentences. Israel Journal of Mathematics, Vol. 221, Issue. 1, p. 85.

CrossRef

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Brooksbank, Peter O’Brien, E. and Wilson, James 2019. Testing isomorphism of graded algebras. Transactions of the American Mathematical Society, Vol. 372, Issue. 11, p. 8067.

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Google Scholar

DeSALVO, STEPHEN and PAK, IGOR 2019. Limit Shapes via Bijections. Combinatorics, Probability and Computing, Vol. 28, Issue. 2, p. 187.

CrossRef

Google Scholar

Dietrich, Heiko and Saha, Subhrajyoti 2019. A note on skeleton groups in coclass graphs. International Journal of Algebra and Computation, Vol. 29, Issue. 01, p. 127.

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Ji, Zhengfeng Qiao, Youming Song, Fang and Yun, Aaram 2019. Theory of Cryptography. Vol. 11891, Issue. , p. 251.

CrossRef

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Simon R. Blackburn, Royal Holloway, University of London, Peter M. Neumann, University of Oxford, Geetha Venkataraman, University of Delhi

Publisher:: Cambridge University Press
Online publication date:: January 2010
Print publication year:: 2007
Online ISBN:: 9780511542756
DOI:: https://doi.org/10.1017/CBO9780511542756

Subjects:: Mathematics (general), Mathematics, Algebra
Series:: Cambridge Tracts in Mathematics (173)

111.00 (GBP)

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How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.

'… a welcome and well-written addition to the theory of finite groups.'

Source: EMS Newsletter

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Enumeration of Finite Groups

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