APPLICATIONS OF p-DEFICIENCY AND p-LARGENESS
2011 ◽
Vol 21
(04)
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pp. 547-574
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Keyword(s):
We use Schlage-Puchta's concept of p-deficiency and Lackenby's property of p-largeness to show that a group having a finite presentation with p-deficiency greater than 1 is large, which implies that Schlage-Puchta's infinite finitely generated p-groups are not finitely presented. We also show that for all primes p at least 7, any group having a presentation of p-deficiency greater than 1 is Golod–Shafarevich, and has a finite index subgroup which is Golod–Shafarevich for the remaining primes. We also generalize a result of Grigorchuk on Coxeter groups to odd primes.
2013 ◽
Vol 156
(1)
◽
pp. 115-121
Keyword(s):
1998 ◽
Vol 41
(2)
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pp. 303-313
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Keyword(s):
Keyword(s):
2007 ◽
Vol 17
(03)
◽
pp. 427-447
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2017 ◽
Vol 27
(03)
◽
pp. 299-314
1996 ◽
Vol 48
(6)
◽
pp. 1224-1244
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1991 ◽
Vol 01
(03)
◽
pp. 339-351
Keyword(s):