Blocks of small defect

Authors:
Alberto Espuelas and Gabriel Navarro

Journal:
Proc. Amer. Math. Soc. **114** (1992), 881-885

MSC:
Primary 20C20

DOI:
https://doi.org/10.1090/S0002-9939-1992-1070516-1

MathSciNet review:
1070516

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Abstract | References | Similar Articles | Additional Information

Abstract: A group of odd order with has a block of defect less than , where . In addition, if is supersolvable by nilpotent, has a block of defect zero.

**[1]**A. Espuelas,*On the Fitting length conjecture*, Arch. Math.**53**(1989), 524-527 MR**1023966 (90i:20021)****[2]**-,*Large character degrees of groups of odd order*, Illinois J. Math. (to appear). MR**1103682 (92c:20010)****[3]**W. Feit,*The representation theory of finite groups*, North-Holland, Amsterdam, New York, and Oxford, 1982. MR**661045 (83g:20001)****[4]**R. Gow,*On the number of characters in a**-block of a**-solvable group*, J. Algebra**65**(1980), 421-226. MR**585733 (82c:20021)****[5]**B. Huppert,*Endliche Gruppen*, Springer-Verlag, Berlin and New York, 1967. MR**0224703 (37:302)****[6]**I. M. Isaacs,*Character theory of finite groups*, Academic Press, New York, 1976. MR**0460423 (57:417)****[7]**G. Michler,*A finite simple group of Lie type has**-blocks with different defects*, , J. Algebra**104**(1986), 220-230. MR**866772 (87m:20038)****[8]**W. Willems,*Blocks of defect zero in finite simple groups of Lie type*, J. Algebra**113**(1988), 511-522. MR**929777 (89c:20025)**

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1992-1070516-1

Keywords:
Block,
defect,
defect zero

Article copyright:
© Copyright 1992
American Mathematical Society