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Publications

Inhaltsbereich / Content

Books:

Research articles:
  1. (with L. Héthelyi and B. Külshammer) Conjugacy classes and characters of finite p-groups,
    Comm. Algebra 39 (2011), 657–685, pdf
  2. Cartan matrices and Brauer's k(B)-conjecture, J. Algebra 331 (2011), 416–427, pdf
  3. Cartan matrices and Brauer's k(B)-conjecture II, J. Algebra 337 (2011), 345–362, pdf
  4. 2-Blocks with minimal nonabelian defect groups, J. Algebra 337 (2011), 261–284, pdf
  5. Fusion systems on metacyclic 2-groups, Osaka J. Math. 49 (2012), 325–329, pdf
  6. Blocks with defect group D2n × C2m, J. Pure Appl. Algebra 216 (2012), 119–125, pdf
  7. (with C. W. Eaton and B. Külshammer) 2-Blocks with minimal nonabelian defect groups II,
    J. Group Theory 15 (2012), 311–321 pdf
  8. (with B. Külshammer) The 2-blocks of defect 4, Represent. Theory 17 (2013), 226–236, pdf
  9. Brauer's Height Zero Conjecture for metacyclic defect groups, Pacific J. Math. 262 (2013), 481–507, pdf
  10. Blocks with central product defect group D2n ∗ C2m, Proc. Amer. Math. Soc. 141 (2013), 4057–4069, pdf
  11. Blocks with defect group Q2n × C2m and SD2n × C2m, Algebr. Represent. Theory 16 (2013), 1717–1732, pdf
  12. Further evidence for conjectures in block theory, Algebra Number Theory 7 (2013), 2241–2273, pdf
  13. (with L. Héthelyi and B. Külshammer) A note on Olsson's Conjecture, J. Algebra 398 (2014), 364–385, pdf
  14. (with C. W. Eaton, R. Kessar and B. Külshammer) 2-blocks with abelian defect groups, Adv. Math. 254 (2014), 706–735, pdf
  15. On the Brauer-Feit bound for abelian defect groups, Math. Z. 276 (2014), 785–797, pdf
  16. (with B. Külshammer, G. Navarro and P. H. Tiep) Finite groups with two conjugacy classes
    of p-elements and related questions for p-blocks
    , Bull. London Math. Soc. 46 (2014), 305–314, pdf
  17. (with S. Koshitani and B. Külshammer) On Loewy lengths of blocks, Math. Proc. Cambridge Philos. Soc. 156 (2014), 555–570, pdf
  18. Exponent and p-rank of finite p-groups and applications, Arch. Math. (Basel) 103 (2014), 11–20, pdf
  19. (with L. Héthelyi, R. Kessar and B. Külshammer) Blocks with transitive fusion systems, J. Algebra 424 (2015), 190–207, pdf
  20. Cartan matrices and Brauer's k(B)-Conjecture III, Manuscripta Math. 146 (2015), 505–518, pdf
  21. The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups, Proc. Amer. Math. Soc. 143 (2015), 4291–4304, pdf
  22. Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015), 951–976, pdf
  23. 2-Blocks with minimal nonabelian defect groups III, Pacific J. Math. 280 (2016), 475–487, pdf
  24. Fusion systems on bicyclic 2-groups, Proc. Edinb. Math. Soc. 59 (2016), 989–1018, pdf
  25. (with P. Landrock) On centers of blocks with one simple module, J. Algebra 472 (2017), 339–368, pdf
  26. On blocks with abelian defect groups of small rank, Results Math. 71 (2017), 411–422, pdf
  27. (with G. Navarro) A counterexample to Feit's Problem VIII on decomposition numbers, J. Algebra 477 (2017), 494–495, pdf
  28. Cartan matrices and Brauer's k(B)-Conjecture IV, J. Math. Soc. Japan 69 (2017), 735–754, pdf
  29. Isotypies for the quasisimple groups with exceptional Schur multiplier, J. Algebra Appl. 16 (2017), 1750078, pdf
  30. On a theorem of Blichfeldt, Expo. Math. 35 (2017), 221–255, pdf
  31. Refinements of the orthogonality relations for blocks, Algebr. Represent. Theory 20 (2017), 1109–1131, pdf
  32. (with G. Malle and G. Navarro) On defects of characters and decomposition numbers, Algebra Number Theory 11 (2017), 1357–1384, pdf
  33. A counterexample to a conjecture of Wada, J. Algebra 489 (2017), 582–585, pdf
  34. Regular orbits of coprime linear groups in large characteristic, Bull. Aust. Math. Soc. 96 (2017), 438–444, pdf
  35. Remarks on Harada's Conjecture, appears in Israel J. Math., pdf, Corrigendum: pdf
  36. (with B. Külshammer and Y. Otokita) Loewy lengths of centers of blocks II, appears in Nagoya Math. J., pdf
  37. (with G. Navarro) On the blockwise modular isomorphism problem, appears in Manuscripta Math., pdf
  38. Solution of Brauer's k(B)-Conjecture for pi-blocks of pi-separable groups, appears in Forum Math., pdf
  39. (with B. Külshammer) Loewy lengths of centers of blocks, appears in Q. J. Math., pdf
  40. (with G. Navarro and P. H. Tiep) Characters and Sylow 2-subgroups of maximal class revisited, submitted
  41. (with A. Bächle) Groups whose elements are not conjugate to their powers, submitted, pdf
Some of my papers are also on arXiv.
Here are my profiles on ORCID, MathSciNet and zbMATH. I am not on ResearchGate (although they created an inaccurate account on my name).

If you find any mistakes/typos please let me know.