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FINITE p-GROUPS AND COCLASS THEORY

Part of: Representation theory of groups

Published online by Cambridge University Press:  01 December 2020

SUBHRAJYOTI SAHA Open the ORCID record for SUBHRAJYOTI SAHA [Opens in a new window]
SUBHRAJYOTI SAHA*
Affiliation:
School of Mathematics, Monash University, Clayton, Victoria3800, Australia
*
e-mail: [email protected]
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Abstract

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Keywords

p-groupscoclass

MSC classification

Primary: 20D15: Nilpotent groups, $p$-groups
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 1 , August 2021 , pp. 164 - 166
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to Monash University in March 2020; degree approved on 9 June 2020; supervisor Heiko Dietrich.

References

Blackburn, N., ‘On a special class of $p$ -groups’, Acta Math. 100 (1958), 45–92.CrossRefGoogle Scholar
Dietrich, H., ‘A new pattern in the graph of $p$ -groups of maximal class’, Bull. Lond. Math. Soc. 42(6) (2010), 1073–1088.CrossRefGoogle Scholar
Dietrich, H. and Eick, B., ‘Finite $p$ -groups of maximal class with “large” automorphism groups’, J. Group Theory 20(2) (2017), 227–256.CrossRefGoogle Scholar
Dietrich, H., Eick, B., Greve, C. and Saha, S., ‘Determination of uniserial 2-adic space groups’, in preparation.Google Scholar
Dietrich, H. and Saha, S., ‘A note on skeleton groups in coclass graphs’, Internat. J. Algebra Comput. 29(1) (2019), 127–146.CrossRefGoogle Scholar
Eick, B., ‘Determination of the uniserial space groups with a given coclass’, J. Lond. Math. Soc. (2) 71(3) (2005), 622–642.CrossRefGoogle Scholar
Eick, B. and Leedham-Green, C. R., ‘On the classification of prime-power groups by coclass’, Bull. Lond. Math. Soc. 40(2) (2008), 274–288.CrossRefGoogle Scholar
Eick, B., Leedham-Green, C. R., Newman, M. F. and O’Brien, E. A., ‘On the classification of groups of prime-power order by coclass: the 3-groups of coclass 2’, Internat. J. Algebra Comput. 23(5) (2013), 1243–1288.CrossRefGoogle Scholar
Leedham-Green, C. R. and McKay, S., The Structure of Groups of Prime Power Order, London Mathematical Society Monographs, New Series, 27 (Oxford University Press, Oxford, 2002).Google Scholar
Leedham-Green, C. R. and Newman, M. F., ‘Space groups and groups of prime-power order. I’, Arch. Math. (Basel) 35(3) (1980), 193–202.CrossRefGoogle Scholar
Newman, M. F. and O’Brien, E. A., ‘Classifying 2-groups by coclass’, Trans. Amer. Math. Soc. 351(1) (1999), 131–169.CrossRefGoogle Scholar
Saha, S., ‘Orbit isomorphic skeleton groups’, in preparation.Google Scholar
Saha, S., Finite $p$ -groups and Coclass Theory, PhD Thesis, Monash University, 2020. https://bridges.monash.edu/articles/thesis/Finite_p-Groups_and_%20Coclass_Theory/12431780.Google Scholar
Shalev, A., ‘The structure of finite $p$ -groups: effective proof of the coclass conjectures’, Invent. Math. 115(2) (1994), 315–345.CrossRefGoogle Scholar